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Finding the Fourth Proportional to 4,262, 5,881.80 and 2,399.12

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Solution

The fourth proportional to 4,262, 5,881.80 and 2,399.12 is: 3,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262 : 5,881.80 = 2,399.12 : x
  2. Step 2: Convert to fraction form
    4,262/5,881.80 = 2,399.12/x
  3. Step 3: Cross multiply
    4,262x = 5,881.80 × 2,399.12
  4. Step 4: Simplify right side
    4,262x = 14,111,144.02
  5. Step 5: Solve for x
    x = 14,111,144.02/4,262
  6. Step 6: Final answer
    x = 3,310.92

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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.