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Finding the Fourth Proportional to 4,262.12, 5,881.74 and 2,399

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Solution

The fourth proportional to 4,262.12, 5,881.74 and 2,399 is: 3,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.12 : 5,881.74 = 2,399 : x
  2. Step 2: Convert to fraction form
    4,262.12/5,881.74 = 2,399/x
  3. Step 3: Cross multiply
    4,262.12x = 5,881.74 × 2,399
  4. Step 4: Simplify right side
    4,262.12x = 14,110,294.26
  5. Step 5: Solve for x
    x = 14,110,294.26/4,262.12
  6. Step 6: Final answer
    x = 3,310.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.