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Finding the Fourth Proportional to 4,920.16, 6,789 and 3,151.40

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Solution

The fourth proportional to 4,920.16, 6,789 and 3,151.40 is: 4,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.16 : 6,789 = 3,151.40 : x
  2. Step 2: Convert to fraction form
    4,920.16/6,789 = 3,151.40/x
  3. Step 3: Cross multiply
    4,920.16x = 6,789 × 3,151.40
  4. Step 4: Simplify right side
    4,920.16x = 21,394,854.60
  5. Step 5: Solve for x
    x = 21,394,854.60/4,920.16
  6. Step 6: Final answer
    x = 4,348.41

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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.