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Finding the Fourth Proportional to 4,658.28, 6,981.82 and 2,058.28

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Solution

The fourth proportional to 4,658.28, 6,981.82 and 2,058.28 is: 3,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.28 : 6,981.82 = 2,058.28 : x
  2. Step 2: Convert to fraction form
    4,658.28/6,981.82 = 2,058.28/x
  3. Step 3: Cross multiply
    4,658.28x = 6,981.82 × 2,058.28
  4. Step 4: Simplify right side
    4,658.28x = 14,370,540.47
  5. Step 5: Solve for x
    x = 14,370,540.47/4,658.28
  6. Step 6: Final answer
    x = 3,084.95

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Why These Related Problems?

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