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Finding the Fourth Proportional to 4,117.38, 5,682.12 and 2,254.38

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Solution

The fourth proportional to 4,117.38, 5,682.12 and 2,254.38 is: 3,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.38 : 5,682.12 = 2,254.38 : x
  2. Step 2: Convert to fraction form
    4,117.38/5,682.12 = 2,254.38/x
  3. Step 3: Cross multiply
    4,117.38x = 5,682.12 × 2,254.38
  4. Step 4: Simplify right side
    4,117.38x = 12,809,657.69
  5. Step 5: Solve for x
    x = 12,809,657.69/4,117.38
  6. Step 6: Final answer
    x = 3,111.12

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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.