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Finding the Fourth Proportional to 3,569.64, 5,354.70 and 972.52

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Solution

The fourth proportional to 3,569.64, 5,354.70 and 972.52 is: 1,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.64 : 5,354.70 = 972.52 : x
  2. Step 2: Convert to fraction form
    3,569.64/5,354.70 = 972.52/x
  3. Step 3: Cross multiply
    3,569.64x = 5,354.70 × 972.52
  4. Step 4: Simplify right side
    3,569.64x = 5,207,552.84
  5. Step 5: Solve for x
    x = 5,207,552.84/3,569.64
  6. Step 6: Final answer
    x = 1,458.85

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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.