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Finding the Fourth Proportional to 6,291.62, 8,682.65 and 3,459.10

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Solution

The fourth proportional to 6,291.62, 8,682.65 and 3,459.10 is: 4,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.62 : 8,682.65 = 3,459.10 : x
  2. Step 2: Convert to fraction form
    6,291.62/8,682.65 = 3,459.10/x
  3. Step 3: Cross multiply
    6,291.62x = 8,682.65 × 3,459.10
  4. Step 4: Simplify right side
    6,291.62x = 30,034,154.62
  5. Step 5: Solve for x
    x = 30,034,154.62/6,291.62
  6. Step 6: Final answer
    x = 4,773.68

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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.