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Finding the Fourth Proportional to 3,867.98, 5,335.17 and 2,470.10

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Solution

The fourth proportional to 3,867.98, 5,335.17 and 2,470.10 is: 3,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.98 : 5,335.17 = 2,470.10 : x
  2. Step 2: Convert to fraction form
    3,867.98/5,335.17 = 2,470.10/x
  3. Step 3: Cross multiply
    3,867.98x = 5,335.17 × 2,470.10
  4. Step 4: Simplify right side
    3,867.98x = 13,178,403.42
  5. Step 5: Solve for x
    x = 13,178,403.42/3,867.98
  6. Step 6: Final answer
    x = 3,407.05

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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.