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Finding the Fourth Proportional to 4,446.47, 6,675.86 and 2,256.73

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Solution

The fourth proportional to 4,446.47, 6,675.86 and 2,256.73 is: 3,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.47 : 6,675.86 = 2,256.73 : x
  2. Step 2: Convert to fraction form
    4,446.47/6,675.86 = 2,256.73/x
  3. Step 3: Cross multiply
    4,446.47x = 6,675.86 × 2,256.73
  4. Step 4: Simplify right side
    4,446.47x = 15,065,602.49
  5. Step 5: Solve for x
    x = 15,065,602.49/4,446.47
  6. Step 6: Final answer
    x = 3,388.21

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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.