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Finding the Fourth Proportional to 4,177.32, 6,267.06 and 2,229

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Solution

The fourth proportional to 4,177.32, 6,267.06 and 2,229 is: 3,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.32 : 6,267.06 = 2,229 : x
  2. Step 2: Convert to fraction form
    4,177.32/6,267.06 = 2,229/x
  3. Step 3: Cross multiply
    4,177.32x = 6,267.06 × 2,229
  4. Step 4: Simplify right side
    4,177.32x = 13,969,276.74
  5. Step 5: Solve for x
    x = 13,969,276.74/4,177.32
  6. Step 6: Final answer
    x = 3,344.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.