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Finding the Fourth Proportional to 4,648.07, 6,414.36 and 2,658.71

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Solution

The fourth proportional to 4,648.07, 6,414.36 and 2,658.71 is: 3,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.07 : 6,414.36 = 2,658.71 : x
  2. Step 2: Convert to fraction form
    4,648.07/6,414.36 = 2,658.71/x
  3. Step 3: Cross multiply
    4,648.07x = 6,414.36 × 2,658.71
  4. Step 4: Simplify right side
    4,648.07x = 17,053,923.08
  5. Step 5: Solve for x
    x = 17,053,923.08/4,648.07
  6. Step 6: Final answer
    x = 3,669.03

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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.