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Finding the Fourth Proportional to 3,983.31, 5,488.22 and 2,970.74

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Solution

The fourth proportional to 3,983.31, 5,488.22 and 2,970.74 is: 4,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.31 : 5,488.22 = 2,970.74 : x
  2. Step 2: Convert to fraction form
    3,983.31/5,488.22 = 2,970.74/x
  3. Step 3: Cross multiply
    3,983.31x = 5,488.22 × 2,970.74
  4. Step 4: Simplify right side
    3,983.31x = 16,304,095.83
  5. Step 5: Solve for x
    x = 16,304,095.83/3,983.31
  6. Step 6: Final answer
    x = 4,093.10

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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.