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Finding the Fourth Proportional to 3,710.70, 5,566.05 and 937.38

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Solution

The fourth proportional to 3,710.70, 5,566.05 and 937.38 is: 1,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,566.05 = 937.38 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,566.05 = 937.38/x
  3. Step 3: Cross multiply
    3,710.70x = 5,566.05 × 937.38
  4. Step 4: Simplify right side
    3,710.70x = 5,217,503.95
  5. Step 5: Solve for x
    x = 5,217,503.95/3,710.70
  6. Step 6: Final answer
    x = 1,406.07

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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.