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Finding the Fourth Proportional to 5,502.72, 7,607.86 and 4,174.32

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Solution

The fourth proportional to 5,502.72, 7,607.86 and 4,174.32 is: 5,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.72 : 7,607.86 = 4,174.32 : x
  2. Step 2: Convert to fraction form
    5,502.72/7,607.86 = 4,174.32/x
  3. Step 3: Cross multiply
    5,502.72x = 7,607.86 × 4,174.32
  4. Step 4: Simplify right side
    5,502.72x = 31,757,642.16
  5. Step 5: Solve for x
    x = 31,757,642.16/5,502.72
  6. Step 6: Final answer
    x = 5,771.26

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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.