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Finding the Fourth Proportional to 5,176.74, 7,151.16 and 4,617

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Solution

The fourth proportional to 5,176.74, 7,151.16 and 4,617 is: 6,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.74 : 7,151.16 = 4,617 : x
  2. Step 2: Convert to fraction form
    5,176.74/7,151.16 = 4,617/x
  3. Step 3: Cross multiply
    5,176.74x = 7,151.16 × 4,617
  4. Step 4: Simplify right side
    5,176.74x = 33,016,905.72
  5. Step 5: Solve for x
    x = 33,016,905.72/5,176.74
  6. Step 6: Final answer
    x = 6,377.93

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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.