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Finding the Fourth Proportional to 4,206.60, 5,800.32 and 3,448

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Solution

The fourth proportional to 4,206.60, 5,800.32 and 3,448 is: 4,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.60 : 5,800.32 = 3,448 : x
  2. Step 2: Convert to fraction form
    4,206.60/5,800.32 = 3,448/x
  3. Step 3: Cross multiply
    4,206.60x = 5,800.32 × 3,448
  4. Step 4: Simplify right side
    4,206.60x = 19,999,503.36
  5. Step 5: Solve for x
    x = 19,999,503.36/4,206.60
  6. Step 6: Final answer
    x = 4,754.32

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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.