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Finding the Fourth Proportional to 5,718.32, 8,573.12 and 4,074.56

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Solution

The fourth proportional to 5,718.32, 8,573.12 and 4,074.56 is: 6,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.32 : 8,573.12 = 4,074.56 : x
  2. Step 2: Convert to fraction form
    5,718.32/8,573.12 = 4,074.56/x
  3. Step 3: Cross multiply
    5,718.32x = 8,573.12 × 4,074.56
  4. Step 4: Simplify right side
    5,718.32x = 34,931,691.83
  5. Step 5: Solve for x
    x = 34,931,691.83/5,718.32
  6. Step 6: Final answer
    x = 6,108.73

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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.