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Finding the Fourth Proportional to 4,141.06, 5,710.17 and 2,741.38

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Solution

The fourth proportional to 4,141.06, 5,710.17 and 2,741.38 is: 3,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.06 : 5,710.17 = 2,741.38 : x
  2. Step 2: Convert to fraction form
    4,141.06/5,710.17 = 2,741.38/x
  3. Step 3: Cross multiply
    4,141.06x = 5,710.17 × 2,741.38
  4. Step 4: Simplify right side
    4,141.06x = 15,653,745.83
  5. Step 5: Solve for x
    x = 15,653,745.83/4,141.06
  6. Step 6: Final answer
    x = 3,780.13

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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.