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Finding the Fourth Proportional to 3,765.65, 5,645.31 and 2,378.58

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Solution

The fourth proportional to 3,765.65, 5,645.31 and 2,378.58 is: 3,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.65 : 5,645.31 = 2,378.58 : x
  2. Step 2: Convert to fraction form
    3,765.65/5,645.31 = 2,378.58/x
  3. Step 3: Cross multiply
    3,765.65x = 5,645.31 × 2,378.58
  4. Step 4: Simplify right side
    3,765.65x = 13,427,821.46
  5. Step 5: Solve for x
    x = 13,427,821.46/3,765.65
  6. Step 6: Final answer
    x = 3,565.88

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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.