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Finding the Fourth Proportional to 4,658.74, 6,990.49 and 2,578.35

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Solution

The fourth proportional to 4,658.74, 6,990.49 and 2,578.35 is: 3,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.74 : 6,990.49 = 2,578.35 : x
  2. Step 2: Convert to fraction form
    4,658.74/6,990.49 = 2,578.35/x
  3. Step 3: Cross multiply
    4,658.74x = 6,990.49 × 2,578.35
  4. Step 4: Simplify right side
    4,658.74x = 18,023,959.33
  5. Step 5: Solve for x
    x = 18,023,959.33/4,658.74
  6. Step 6: Final answer
    x = 3,868.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.