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Finding the Fourth Proportional to 4,160.52, 5,737.10 and 3,624.81

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Solution

The fourth proportional to 4,160.52, 5,737.10 and 3,624.81 is: 4,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.52 : 5,737.10 = 3,624.81 : x
  2. Step 2: Convert to fraction form
    4,160.52/5,737.10 = 3,624.81/x
  3. Step 3: Cross multiply
    4,160.52x = 5,737.10 × 3,624.81
  4. Step 4: Simplify right side
    4,160.52x = 20,795,897.45
  5. Step 5: Solve for x
    x = 20,795,897.45/4,160.52
  6. Step 6: Final answer
    x = 4,998.39

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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.