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Finding the Fourth Proportional to 6,142.86, 8,475.12 and 3,489.30

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Solution

The fourth proportional to 6,142.86, 8,475.12 and 3,489.30 is: 4,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.86 : 8,475.12 = 3,489.30 : x
  2. Step 2: Convert to fraction form
    6,142.86/8,475.12 = 3,489.30/x
  3. Step 3: Cross multiply
    6,142.86x = 8,475.12 × 3,489.30
  4. Step 4: Simplify right side
    6,142.86x = 29,572,236.22
  5. Step 5: Solve for x
    x = 29,572,236.22/6,142.86
  6. Step 6: Final answer
    x = 4,814.08

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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.