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Finding the Fourth Proportional to 6,098.12, 8,415.57 and 3,445.47

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Solution

The fourth proportional to 6,098.12, 8,415.57 and 3,445.47 is: 4,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.12 : 8,415.57 = 3,445.47 : x
  2. Step 2: Convert to fraction form
    6,098.12/8,415.57 = 3,445.47/x
  3. Step 3: Cross multiply
    6,098.12x = 8,415.57 × 3,445.47
  4. Step 4: Simplify right side
    6,098.12x = 28,995,593.97
  5. Step 5: Solve for x
    x = 28,995,593.97/6,098.12
  6. Step 6: Final answer
    x = 4,754.84

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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.