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Finding the Fourth Proportional to 5,053.67, 6,974.07 and 2,929.61

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Solution

The fourth proportional to 5,053.67, 6,974.07 and 2,929.61 is: 4,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.67 : 6,974.07 = 2,929.61 : x
  2. Step 2: Convert to fraction form
    5,053.67/6,974.07 = 2,929.61/x
  3. Step 3: Cross multiply
    5,053.67x = 6,974.07 × 2,929.61
  4. Step 4: Simplify right side
    5,053.67x = 20,431,333.63
  5. Step 5: Solve for x
    x = 20,431,333.63/5,053.67
  6. Step 6: Final answer
    x = 4,042.87

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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.