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Finding the Fourth Proportional to 5,713.92, 8,551.44 and 4,421.16

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Solution

The fourth proportional to 5,713.92, 8,551.44 and 4,421.16 is: 6,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.92 : 8,551.44 = 4,421.16 : x
  2. Step 2: Convert to fraction form
    5,713.92/8,551.44 = 4,421.16/x
  3. Step 3: Cross multiply
    5,713.92x = 8,551.44 × 4,421.16
  4. Step 4: Simplify right side
    5,713.92x = 37,807,284.47
  5. Step 5: Solve for x
    x = 37,807,284.47/5,713.92
  6. Step 6: Final answer
    x = 6,616.70

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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.