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Finding the Fourth Proportional to 6,098.13, 8,415.35 and 3,445.65

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Solution

The fourth proportional to 6,098.13, 8,415.35 and 3,445.65 is: 4,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.13 : 8,415.35 = 3,445.65 : x
  2. Step 2: Convert to fraction form
    6,098.13/8,415.35 = 3,445.65/x
  3. Step 3: Cross multiply
    6,098.13x = 8,415.35 × 3,445.65
  4. Step 4: Simplify right side
    6,098.13x = 28,996,350.73
  5. Step 5: Solve for x
    x = 28,996,350.73/6,098.13
  6. Step 6: Final answer
    x = 4,754.96

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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.