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Finding the Fourth Proportional to 5,165.88, 7,129.06 and 3,177.60

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Solution

The fourth proportional to 5,165.88, 7,129.06 and 3,177.60 is: 4,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.88 : 7,129.06 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    5,165.88/7,129.06 = 3,177.60/x
  3. Step 3: Cross multiply
    5,165.88x = 7,129.06 × 3,177.60
  4. Step 4: Simplify right side
    5,165.88x = 22,653,301.06
  5. Step 5: Solve for x
    x = 22,653,301.06/5,165.88
  6. Step 6: Final answer
    x = 4,385.18

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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.