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Finding the Fourth Proportional to 4,591.34, 6,892.13 and 4,290.18

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Solution

The fourth proportional to 4,591.34, 6,892.13 and 4,290.18 is: 6,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.34 : 6,892.13 = 4,290.18 : x
  2. Step 2: Convert to fraction form
    4,591.34/6,892.13 = 4,290.18/x
  3. Step 3: Cross multiply
    4,591.34x = 6,892.13 × 4,290.18
  4. Step 4: Simplify right side
    4,591.34x = 29,568,478.28
  5. Step 5: Solve for x
    x = 29,568,478.28/4,591.34
  6. Step 6: Final answer
    x = 6,440.05

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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.