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Finding the Fourth Proportional to 5,713.62, 8,575.29 and 4,074.18

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Solution

The fourth proportional to 5,713.62, 8,575.29 and 4,074.18 is: 6,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.62 : 8,575.29 = 4,074.18 : x
  2. Step 2: Convert to fraction form
    5,713.62/8,575.29 = 4,074.18/x
  3. Step 3: Cross multiply
    5,713.62x = 8,575.29 × 4,074.18
  4. Step 4: Simplify right side
    5,713.62x = 34,937,275.01
  5. Step 5: Solve for x
    x = 34,937,275.01/5,713.62
  6. Step 6: Final answer
    x = 6,114.74

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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.