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Finding the Fourth Proportional to 3,866.28, 5,799.60 and 1,557.72

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Solution

The fourth proportional to 3,866.28, 5,799.60 and 1,557.72 is: 2,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.28 : 5,799.60 = 1,557.72 : x
  2. Step 2: Convert to fraction form
    3,866.28/5,799.60 = 1,557.72/x
  3. Step 3: Cross multiply
    3,866.28x = 5,799.60 × 1,557.72
  4. Step 4: Simplify right side
    3,866.28x = 9,034,152.91
  5. Step 5: Solve for x
    x = 9,034,152.91/3,866.28
  6. Step 6: Final answer
    x = 2,336.65

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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.