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Finding the Fourth Proportional to 3,710.20, 5,565.90 and 1,244.50

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Solution

The fourth proportional to 3,710.20, 5,565.90 and 1,244.50 is: 1,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.20 : 5,565.90 = 1,244.50 : x
  2. Step 2: Convert to fraction form
    3,710.20/5,565.90 = 1,244.50/x
  3. Step 3: Cross multiply
    3,710.20x = 5,565.90 × 1,244.50
  4. Step 4: Simplify right side
    3,710.20x = 6,926,762.55
  5. Step 5: Solve for x
    x = 6,926,762.55/3,710.20
  6. Step 6: Final answer
    x = 1,866.95

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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.