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Finding the Fourth Proportional to 3,572.34, 4,929.71 and 1,978.92

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Solution

The fourth proportional to 3,572.34, 4,929.71 and 1,978.92 is: 2,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.34 : 4,929.71 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    3,572.34/4,929.71 = 1,978.92/x
  3. Step 3: Cross multiply
    3,572.34x = 4,929.71 × 1,978.92
  4. Step 4: Simplify right side
    3,572.34x = 9,755,504.19
  5. Step 5: Solve for x
    x = 9,755,504.19/3,572.34
  6. Step 6: Final answer
    x = 2,730.85

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1.5x scale

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.