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Finding the Fourth Proportional to 5,762.29, 7,949.19 and 5,538.73

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Solution

The fourth proportional to 5,762.29, 7,949.19 and 5,538.73 is: 7,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.29 : 7,949.19 = 5,538.73 : x
  2. Step 2: Convert to fraction form
    5,762.29/7,949.19 = 5,538.73/x
  3. Step 3: Cross multiply
    5,762.29x = 7,949.19 × 5,538.73
  4. Step 4: Simplify right side
    5,762.29x = 44,028,417.13
  5. Step 5: Solve for x
    x = 44,028,417.13/5,762.29
  6. Step 6: Final answer
    x = 7,640.78

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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.