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Finding the Fourth Proportional to 4,305.88, 6,459.90 and 1,227.88

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Solution

The fourth proportional to 4,305.88, 6,459.90 and 1,227.88 is: 1,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.88 : 6,459.90 = 1,227.88 : x
  2. Step 2: Convert to fraction form
    4,305.88/6,459.90 = 1,227.88/x
  3. Step 3: Cross multiply
    4,305.88x = 6,459.90 × 1,227.88
  4. Step 4: Simplify right side
    4,305.88x = 7,931,943.57
  5. Step 5: Solve for x
    x = 7,931,943.57/4,305.88
  6. Step 6: Final answer
    x = 1,842.12

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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.