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Finding the Fourth Proportional to 3,873.47, 5,345.48 and 2,280.20

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Solution

The fourth proportional to 3,873.47, 5,345.48 and 2,280.20 is: 3,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.47 : 5,345.48 = 2,280.20 : x
  2. Step 2: Convert to fraction form
    3,873.47/5,345.48 = 2,280.20/x
  3. Step 3: Cross multiply
    3,873.47x = 5,345.48 × 2,280.20
  4. Step 4: Simplify right side
    3,873.47x = 12,188,742.47
  5. Step 5: Solve for x
    x = 12,188,742.47/3,873.47
  6. Step 6: Final answer
    x = 3,146.73

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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.