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Finding the Fourth Proportional to 3,815.46, 5,720.76 and 1,867.14

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Solution

The fourth proportional to 3,815.46, 5,720.76 and 1,867.14 is: 2,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.46 : 5,720.76 = 1,867.14 : x
  2. Step 2: Convert to fraction form
    3,815.46/5,720.76 = 1,867.14/x
  3. Step 3: Cross multiply
    3,815.46x = 5,720.76 × 1,867.14
  4. Step 4: Simplify right side
    3,815.46x = 10,681,459.83
  5. Step 5: Solve for x
    x = 10,681,459.83/3,815.46
  6. Step 6: Final answer
    x = 2,799.52

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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.