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Finding the Fourth Proportional to 5,787,674.92, 7,987,400.58 and 3,209,602.60

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Solution

The fourth proportional to 5,787,674.92, 7,987,400.58 and 3,209,602.60 is: 4,429,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,674.92 : 7,987,400.58 = 3,209,602.60 : x
  2. Step 2: Convert to fraction form
    5,787,674.92/7,987,400.58 = 3,209,602.60/x
  3. Step 3: Cross multiply
    5,787,674.92x = 7,987,400.58 × 3,209,602.60
  4. Step 4: Simplify right side
    5,787,674.92x = 25,636,381,668,809.51
  5. Step 5: Solve for x
    x = 25,636,381,668,809.51/5,787,674.92
  6. Step 6: Final answer
    x = 4,429,478.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.