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Finding the Fourth Proportional to 5,505.72, 7,589.28 and 4,174.08

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Solution

The fourth proportional to 5,505.72, 7,589.28 and 4,174.08 is: 5,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.72 : 7,589.28 = 4,174.08 : x
  2. Step 2: Convert to fraction form
    5,505.72/7,589.28 = 4,174.08/x
  3. Step 3: Cross multiply
    5,505.72x = 7,589.28 × 4,174.08
  4. Step 4: Simplify right side
    5,505.72x = 31,678,261.86
  5. Step 5: Solve for x
    x = 31,678,261.86/5,505.72
  6. Step 6: Final answer
    x = 5,753.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.