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Finding the Fourth Proportional to 7,051.60, 10,578.12 and 2,434

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Solution

The fourth proportional to 7,051.60, 10,578.12 and 2,434 is: 3,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.60 : 10,578.12 = 2,434 : x
  2. Step 2: Convert to fraction form
    7,051.60/10,578.12 = 2,434/x
  3. Step 3: Cross multiply
    7,051.60x = 10,578.12 × 2,434
  4. Step 4: Simplify right side
    7,051.60x = 25,747,144.08
  5. Step 5: Solve for x
    x = 25,747,144.08/7,051.60
  6. Step 6: Final answer
    x = 3,651.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.