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Finding the Fourth Proportional to 4,641.78, 6,397.28 and 3,380.83

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Solution

The fourth proportional to 4,641.78, 6,397.28 and 3,380.83 is: 4,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.78 : 6,397.28 = 3,380.83 : x
  2. Step 2: Convert to fraction form
    4,641.78/6,397.28 = 3,380.83/x
  3. Step 3: Cross multiply
    4,641.78x = 6,397.28 × 3,380.83
  4. Step 4: Simplify right side
    4,641.78x = 21,628,099.24
  5. Step 5: Solve for x
    x = 21,628,099.24/4,641.78
  6. Step 6: Final answer
    x = 4,659.45

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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.