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Finding the Fourth Proportional to 5,700.71, 8,555.39 and 2,416.10

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Solution

The fourth proportional to 5,700.71, 8,555.39 and 2,416.10 is: 3,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.71 : 8,555.39 = 2,416.10 : x
  2. Step 2: Convert to fraction form
    5,700.71/8,555.39 = 2,416.10/x
  3. Step 3: Cross multiply
    5,700.71x = 8,555.39 × 2,416.10
  4. Step 4: Simplify right side
    5,700.71x = 20,670,631.98
  5. Step 5: Solve for x
    x = 20,670,631.98/5,700.71
  6. Step 6: Final answer
    x = 3,625.97

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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.