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Finding the Fourth Proportional to 4,138.31, 5,710.88 and 2,275.31

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Solution

The fourth proportional to 4,138.31, 5,710.88 and 2,275.31 is: 3,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.31 : 5,710.88 = 2,275.31 : x
  2. Step 2: Convert to fraction form
    4,138.31/5,710.88 = 2,275.31/x
  3. Step 3: Cross multiply
    4,138.31x = 5,710.88 × 2,275.31
  4. Step 4: Simplify right side
    4,138.31x = 12,994,042.34
  5. Step 5: Solve for x
    x = 12,994,042.34/4,138.31
  6. Step 6: Final answer
    x = 3,139.94

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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.