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Finding the Fourth Proportional to 3,111.38, 4,293.71 and 1,714.13

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Solution

The fourth proportional to 3,111.38, 4,293.71 and 1,714.13 is: 2,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.38 : 4,293.71 = 1,714.13 : x
  2. Step 2: Convert to fraction form
    3,111.38/4,293.71 = 1,714.13/x
  3. Step 3: Cross multiply
    3,111.38x = 4,293.71 × 1,714.13
  4. Step 4: Simplify right side
    3,111.38x = 7,359,947.08
  5. Step 5: Solve for x
    x = 7,359,947.08/3,111.38
  6. Step 6: Final answer
    x = 2,365.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.