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Finding the Fourth Proportional to 4,642.07, 6,414.54 and 3,380.93

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Solution

The fourth proportional to 4,642.07, 6,414.54 and 3,380.93 is: 4,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.07 : 6,414.54 = 3,380.93 : x
  2. Step 2: Convert to fraction form
    4,642.07/6,414.54 = 3,380.93/x
  3. Step 3: Cross multiply
    4,642.07x = 6,414.54 × 3,380.93
  4. Step 4: Simplify right side
    4,642.07x = 21,687,110.72
  5. Step 5: Solve for x
    x = 21,687,110.72/4,642.07
  6. Step 6: Final answer
    x = 4,671.86

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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.