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Finding the Fourth Proportional to 6,355.80, 9,534.51 and 2,459.70

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Solution

The fourth proportional to 6,355.80, 9,534.51 and 2,459.70 is: 3,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.80 : 9,534.51 = 2,459.70 : x
  2. Step 2: Convert to fraction form
    6,355.80/9,534.51 = 2,459.70/x
  3. Step 3: Cross multiply
    6,355.80x = 9,534.51 × 2,459.70
  4. Step 4: Simplify right side
    6,355.80x = 23,452,034.25
  5. Step 5: Solve for x
    x = 23,452,034.25/6,355.80
  6. Step 6: Final answer
    x = 3,689.86

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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.