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Finding the Fourth Proportional to 6,098.61, 8,411.81 and 3,741.69

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Solution

The fourth proportional to 6,098.61, 8,411.81 and 3,741.69 is: 5,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.61 : 8,411.81 = 3,741.69 : x
  2. Step 2: Convert to fraction form
    6,098.61/8,411.81 = 3,741.69/x
  3. Step 3: Cross multiply
    6,098.61x = 8,411.81 × 3,741.69
  4. Step 4: Simplify right side
    6,098.61x = 31,474,366.65
  5. Step 5: Solve for x
    x = 31,474,366.65/6,098.61
  6. Step 6: Final answer
    x = 5,160.91

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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.