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Finding the Fourth Proportional to 4,456, 6,683.82 and 1,335.88

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Solution

The fourth proportional to 4,456, 6,683.82 and 1,335.88 is: 2,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456 : 6,683.82 = 1,335.88 : x
  2. Step 2: Convert to fraction form
    4,456/6,683.82 = 1,335.88/x
  3. Step 3: Cross multiply
    4,456x = 6,683.82 × 1,335.88
  4. Step 4: Simplify right side
    4,456x = 8,928,781.46
  5. Step 5: Solve for x
    x = 8,928,781.46/4,456
  6. Step 6: Final answer
    x = 2,003.77

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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.