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Finding the Fourth Proportional to 3,156.64, 4,346.24 and 2,683.52

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Solution

The fourth proportional to 3,156.64, 4,346.24 and 2,683.52 is: 3,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.64 : 4,346.24 = 2,683.52 : x
  2. Step 2: Convert to fraction form
    3,156.64/4,346.24 = 2,683.52/x
  3. Step 3: Cross multiply
    3,156.64x = 4,346.24 × 2,683.52
  4. Step 4: Simplify right side
    3,156.64x = 11,663,221.96
  5. Step 5: Solve for x
    x = 11,663,221.96/3,156.64
  6. Step 6: Final answer
    x = 3,694.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.