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Finding the Fourth Proportional to 3,545.67, 5,318.87 and 1,356.24

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Solution

The fourth proportional to 3,545.67, 5,318.87 and 1,356.24 is: 2,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.67 : 5,318.87 = 1,356.24 : x
  2. Step 2: Convert to fraction form
    3,545.67/5,318.87 = 1,356.24/x
  3. Step 3: Cross multiply
    3,545.67x = 5,318.87 × 1,356.24
  4. Step 4: Simplify right side
    3,545.67x = 7,213,664.25
  5. Step 5: Solve for x
    x = 7,213,664.25/3,545.67
  6. Step 6: Final answer
    x = 2,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.