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Finding the Fourth Proportional to 4,447.44, 6,663.86 and 1,524.15

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Solution

The fourth proportional to 4,447.44, 6,663.86 and 1,524.15 is: 2,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.44 : 6,663.86 = 1,524.15 : x
  2. Step 2: Convert to fraction form
    4,447.44/6,663.86 = 1,524.15/x
  3. Step 3: Cross multiply
    4,447.44x = 6,663.86 × 1,524.15
  4. Step 4: Simplify right side
    4,447.44x = 10,156,722.22
  5. Step 5: Solve for x
    x = 10,156,722.22/4,447.44
  6. Step 6: Final answer
    x = 2,283.72

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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.