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Finding the Fourth Proportional to 3,736.66, 5,605.01 and 1,545.46

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Solution

The fourth proportional to 3,736.66, 5,605.01 and 1,545.46 is: 2,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.66 : 5,605.01 = 1,545.46 : x
  2. Step 2: Convert to fraction form
    3,736.66/5,605.01 = 1,545.46/x
  3. Step 3: Cross multiply
    3,736.66x = 5,605.01 × 1,545.46
  4. Step 4: Simplify right side
    3,736.66x = 8,662,318.75
  5. Step 5: Solve for x
    x = 8,662,318.75/3,736.66
  6. Step 6: Final answer
    x = 2,318.20

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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.