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Finding the Fourth Proportional to 5,405.95, 7,456.27 and 4,132.71

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Solution

The fourth proportional to 5,405.95, 7,456.27 and 4,132.71 is: 5,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.95 : 7,456.27 = 4,132.71 : x
  2. Step 2: Convert to fraction form
    5,405.95/7,456.27 = 4,132.71/x
  3. Step 3: Cross multiply
    5,405.95x = 7,456.27 × 4,132.71
  4. Step 4: Simplify right side
    5,405.95x = 30,814,543.65
  5. Step 5: Solve for x
    x = 30,814,543.65/5,405.95
  6. Step 6: Final answer
    x = 5,700.12

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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.