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Finding the Fourth Proportional to 4,648.29, 6,414.62 and 2,658.88

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Solution

The fourth proportional to 4,648.29, 6,414.62 and 2,658.88 is: 3,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.29 : 6,414.62 = 2,658.88 : x
  2. Step 2: Convert to fraction form
    4,648.29/6,414.62 = 2,658.88/x
  3. Step 3: Cross multiply
    4,648.29x = 6,414.62 × 2,658.88
  4. Step 4: Simplify right side
    4,648.29x = 17,055,725.07
  5. Step 5: Solve for x
    x = 17,055,725.07/4,648.29
  6. Step 6: Final answer
    x = 3,669.24

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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.