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Finding the Fourth Proportional to 4,397.68, 6,069.36 and 2,534.68

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Solution

The fourth proportional to 4,397.68, 6,069.36 and 2,534.68 is: 3,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.68 : 6,069.36 = 2,534.68 : x
  2. Step 2: Convert to fraction form
    4,397.68/6,069.36 = 2,534.68/x
  3. Step 3: Cross multiply
    4,397.68x = 6,069.36 × 2,534.68
  4. Step 4: Simplify right side
    4,397.68x = 15,383,885.40
  5. Step 5: Solve for x
    x = 15,383,885.40/4,397.68
  6. Step 6: Final answer
    x = 3,498.18

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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.