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Finding the Fourth Proportional to 3,818.96, 5,725.52 and 2,645.58

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Solution

The fourth proportional to 3,818.96, 5,725.52 and 2,645.58 is: 3,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.96 : 5,725.52 = 2,645.58 : x
  2. Step 2: Convert to fraction form
    3,818.96/5,725.52 = 2,645.58/x
  3. Step 3: Cross multiply
    3,818.96x = 5,725.52 × 2,645.58
  4. Step 4: Simplify right side
    3,818.96x = 15,147,321.20
  5. Step 5: Solve for x
    x = 15,147,321.20/3,818.96
  6. Step 6: Final answer
    x = 3,966.35

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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.