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Finding the Fourth Proportional to 5,713.92, 8,575.20 and 4,901.76

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Solution

The fourth proportional to 5,713.92, 8,575.20 and 4,901.76 is: 7,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.92 : 8,575.20 = 4,901.76 : x
  2. Step 2: Convert to fraction form
    5,713.92/8,575.20 = 4,901.76/x
  3. Step 3: Cross multiply
    5,713.92x = 8,575.20 × 4,901.76
  4. Step 4: Simplify right side
    5,713.92x = 42,033,572.35
  5. Step 5: Solve for x
    x = 42,033,572.35/5,713.92
  6. Step 6: Final answer
    x = 7,356.35

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