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Finding the Fourth Proportional to 3,884, 5,823.12 and 2,498.88

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Solution

The fourth proportional to 3,884, 5,823.12 and 2,498.88 is: 3,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,823.12 = 2,498.88 : x
  2. Step 2: Convert to fraction form
    3,884/5,823.12 = 2,498.88/x
  3. Step 3: Cross multiply
    3,884x = 5,823.12 × 2,498.88
  4. Step 4: Simplify right side
    3,884x = 14,551,278.11
  5. Step 5: Solve for x
    x = 14,551,278.11/3,884
  6. Step 6: Final answer
    x = 3,746.47

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