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Finding the Fourth Proportional to 3,357.92, 4,633.38 and 2,098.76

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Solution

The fourth proportional to 3,357.92, 4,633.38 and 2,098.76 is: 2,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.92 : 4,633.38 = 2,098.76 : x
  2. Step 2: Convert to fraction form
    3,357.92/4,633.38 = 2,098.76/x
  3. Step 3: Cross multiply
    3,357.92x = 4,633.38 × 2,098.76
  4. Step 4: Simplify right side
    3,357.92x = 9,724,352.61
  5. Step 5: Solve for x
    x = 9,724,352.61/3,357.92
  6. Step 6: Final answer
    x = 2,895.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.