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Finding the Fourth Proportional to 2,701.38, 3,720 and 2,587.57

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Solution

The fourth proportional to 2,701.38, 3,720 and 2,587.57 is: 3,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.38 : 3,720 = 2,587.57 : x
  2. Step 2: Convert to fraction form
    2,701.38/3,720 = 2,587.57/x
  3. Step 3: Cross multiply
    2,701.38x = 3,720 × 2,587.57
  4. Step 4: Simplify right side
    2,701.38x = 9,625,760.40
  5. Step 5: Solve for x
    x = 9,625,760.40/2,701.38
  6. Step 6: Final answer
    x = 3,563.28

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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.