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Finding the Fourth Proportional to 4,545.31, 6,265.38 and 4,163.95

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Solution

The fourth proportional to 4,545.31, 6,265.38 and 4,163.95 is: 5,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.31 : 6,265.38 = 4,163.95 : x
  2. Step 2: Convert to fraction form
    4,545.31/6,265.38 = 4,163.95/x
  3. Step 3: Cross multiply
    4,545.31x = 6,265.38 × 4,163.95
  4. Step 4: Simplify right side
    4,545.31x = 26,088,699.74
  5. Step 5: Solve for x
    x = 26,088,699.74/4,545.31
  6. Step 6: Final answer
    x = 5,739.70

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Why These Related Problems?

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