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Finding the Fourth Proportional to 3,706.78, 5,560.52 and 1,366.69

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Solution

The fourth proportional to 3,706.78, 5,560.52 and 1,366.69 is: 2,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.78 : 5,560.52 = 1,366.69 : x
  2. Step 2: Convert to fraction form
    3,706.78/5,560.52 = 1,366.69/x
  3. Step 3: Cross multiply
    3,706.78x = 5,560.52 × 1,366.69
  4. Step 4: Simplify right side
    3,706.78x = 7,599,500.25
  5. Step 5: Solve for x
    x = 7,599,500.25/3,706.78
  6. Step 6: Final answer
    x = 2,050.16

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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.