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Finding the Fourth Proportional to 5,488.65, 8,235.02 and 3,298.95

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Solution

The fourth proportional to 5,488.65, 8,235.02 and 3,298.95 is: 4,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.65 : 8,235.02 = 3,298.95 : x
  2. Step 2: Convert to fraction form
    5,488.65/8,235.02 = 3,298.95/x
  3. Step 3: Cross multiply
    5,488.65x = 8,235.02 × 3,298.95
  4. Step 4: Simplify right side
    5,488.65x = 27,166,919.23
  5. Step 5: Solve for x
    x = 27,166,919.23/5,488.65
  6. Step 6: Final answer
    x = 4,949.65

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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.