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Finding the Fourth Proportional to 4,458.56, 6,138.74 and 3,927.11

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Solution

The fourth proportional to 4,458.56, 6,138.74 and 3,927.11 is: 5,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.56 : 6,138.74 = 3,927.11 : x
  2. Step 2: Convert to fraction form
    4,458.56/6,138.74 = 3,927.11/x
  3. Step 3: Cross multiply
    4,458.56x = 6,138.74 × 3,927.11
  4. Step 4: Simplify right side
    4,458.56x = 24,107,487.61
  5. Step 5: Solve for x
    x = 24,107,487.61/4,458.56
  6. Step 6: Final answer
    x = 5,407.01

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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.