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Finding the Fourth Proportional to 3,765.93, 5,649.53 and 1,545.27

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Solution

The fourth proportional to 3,765.93, 5,649.53 and 1,545.27 is: 2,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.93 : 5,649.53 = 1,545.27 : x
  2. Step 2: Convert to fraction form
    3,765.93/5,649.53 = 1,545.27/x
  3. Step 3: Cross multiply
    3,765.93x = 5,649.53 × 1,545.27
  4. Step 4: Simplify right side
    3,765.93x = 8,730,041.50
  5. Step 5: Solve for x
    x = 8,730,041.50/3,765.93
  6. Step 6: Final answer
    x = 2,318.16

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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.