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Finding the Fourth Proportional to 6,291.63, 8,682.57 and 3,459.13

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Solution

The fourth proportional to 6,291.63, 8,682.57 and 3,459.13 is: 4,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.63 : 8,682.57 = 3,459.13 : x
  2. Step 2: Convert to fraction form
    6,291.63/8,682.57 = 3,459.13/x
  3. Step 3: Cross multiply
    6,291.63x = 8,682.57 × 3,459.13
  4. Step 4: Simplify right side
    6,291.63x = 30,034,116.66
  5. Step 5: Solve for x
    x = 30,034,116.66/6,291.63
  6. Step 6: Final answer
    x = 4,773.66

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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.