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Finding the Fourth Proportional to 4,737.70, 7,101.05 and 2,240.48

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Solution

The fourth proportional to 4,737.70, 7,101.05 and 2,240.48 is: 3,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.70 : 7,101.05 = 2,240.48 : x
  2. Step 2: Convert to fraction form
    4,737.70/7,101.05 = 2,240.48/x
  3. Step 3: Cross multiply
    4,737.70x = 7,101.05 × 2,240.48
  4. Step 4: Simplify right side
    4,737.70x = 15,909,760.50
  5. Step 5: Solve for x
    x = 15,909,760.50/4,737.70
  6. Step 6: Final answer
    x = 3,358.12

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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.