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Finding the Fourth Proportional to 4,658.39, 6,431.24 and 3,088.61

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Solution

The fourth proportional to 4,658.39, 6,431.24 and 3,088.61 is: 4,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.39 : 6,431.24 = 3,088.61 : x
  2. Step 2: Convert to fraction form
    4,658.39/6,431.24 = 3,088.61/x
  3. Step 3: Cross multiply
    4,658.39x = 6,431.24 × 3,088.61
  4. Step 4: Simplify right side
    4,658.39x = 19,863,576.73
  5. Step 5: Solve for x
    x = 19,863,576.73/4,658.39
  6. Step 6: Final answer
    x = 4,264.04

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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.