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Finding the Fourth Proportional to 5,728.72, 8,597.40 and 3,780.24

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Solution

The fourth proportional to 5,728.72, 8,597.40 and 3,780.24 is: 5,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.72 : 8,597.40 = 3,780.24 : x
  2. Step 2: Convert to fraction form
    5,728.72/8,597.40 = 3,780.24/x
  3. Step 3: Cross multiply
    5,728.72x = 8,597.40 × 3,780.24
  4. Step 4: Simplify right side
    5,728.72x = 32,500,235.38
  5. Step 5: Solve for x
    x = 32,500,235.38/5,728.72
  6. Step 6: Final answer
    x = 5,673.21

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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.