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Finding the Fourth Proportional to 4,165.40, 6,248.10 and 3,679.40

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Solution

The fourth proportional to 4,165.40, 6,248.10 and 3,679.40 is: 5,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.40 : 6,248.10 = 3,679.40 : x
  2. Step 2: Convert to fraction form
    4,165.40/6,248.10 = 3,679.40/x
  3. Step 3: Cross multiply
    4,165.40x = 6,248.10 × 3,679.40
  4. Step 4: Simplify right side
    4,165.40x = 22,989,259.14
  5. Step 5: Solve for x
    x = 22,989,259.14/4,165.40
  6. Step 6: Final answer
    x = 5,519.10

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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.