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Finding the Fourth Proportional to 4,096.61, 6,141.17 and 1,599.48

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Solution

The fourth proportional to 4,096.61, 6,141.17 and 1,599.48 is: 2,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.61 : 6,141.17 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    4,096.61/6,141.17 = 1,599.48/x
  3. Step 3: Cross multiply
    4,096.61x = 6,141.17 × 1,599.48
  4. Step 4: Simplify right side
    4,096.61x = 9,822,670.59
  5. Step 5: Solve for x
    x = 9,822,670.59/4,096.61
  6. Step 6: Final answer
    x = 2,397.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.