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Finding the Fourth Proportional to 4,012.32, 5,534.22 and 3,681.84

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Solution

The fourth proportional to 4,012.32, 5,534.22 and 3,681.84 is: 5,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.32 : 5,534.22 = 3,681.84 : x
  2. Step 2: Convert to fraction form
    4,012.32/5,534.22 = 3,681.84/x
  3. Step 3: Cross multiply
    4,012.32x = 5,534.22 × 3,681.84
  4. Step 4: Simplify right side
    4,012.32x = 20,376,112.56
  5. Step 5: Solve for x
    x = 20,376,112.56/4,012.32
  6. Step 6: Final answer
    x = 5,078.39

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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.