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Finding the Fourth Proportional to 4,142.54, 6,214.89 and 1,545.50

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Solution

The fourth proportional to 4,142.54, 6,214.89 and 1,545.50 is: 2,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.54 : 6,214.89 = 1,545.50 : x
  2. Step 2: Convert to fraction form
    4,142.54/6,214.89 = 1,545.50/x
  3. Step 3: Cross multiply
    4,142.54x = 6,214.89 × 1,545.50
  4. Step 4: Simplify right side
    4,142.54x = 9,605,112.50
  5. Step 5: Solve for x
    x = 9,605,112.50/4,142.54
  6. Step 6: Final answer
    x = 2,318.65

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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.