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Finding the Fourth Proportional to 5,098.71, 7,042.64 and 4,205.69

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Solution

The fourth proportional to 5,098.71, 7,042.64 and 4,205.69 is: 5,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.71 : 7,042.64 = 4,205.69 : x
  2. Step 2: Convert to fraction form
    5,098.71/7,042.64 = 4,205.69/x
  3. Step 3: Cross multiply
    5,098.71x = 7,042.64 × 4,205.69
  4. Step 4: Simplify right side
    5,098.71x = 29,619,160.62
  5. Step 5: Solve for x
    x = 29,619,160.62/5,098.71
  6. Step 6: Final answer
    x = 5,809.15

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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.