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Finding the Fourth Proportional to 3,710.60, 5,565 and 1,244.78

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Solution

The fourth proportional to 3,710.60, 5,565 and 1,244.78 is: 1,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.60 : 5,565 = 1,244.78 : x
  2. Step 2: Convert to fraction form
    3,710.60/5,565 = 1,244.78/x
  3. Step 3: Cross multiply
    3,710.60x = 5,565 × 1,244.78
  4. Step 4: Simplify right side
    3,710.60x = 6,927,200.70
  5. Step 5: Solve for x
    x = 6,927,200.70/3,710.60
  6. Step 6: Final answer
    x = 1,866.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.