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Finding the Fourth Proportional to 5,098.95, 7,648.02 and 2,466.65

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Solution

The fourth proportional to 5,098.95, 7,648.02 and 2,466.65 is: 3,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.95 : 7,648.02 = 2,466.65 : x
  2. Step 2: Convert to fraction form
    5,098.95/7,648.02 = 2,466.65/x
  3. Step 3: Cross multiply
    5,098.95x = 7,648.02 × 2,466.65
  4. Step 4: Simplify right side
    5,098.95x = 18,865,007.65
  5. Step 5: Solve for x
    x = 18,865,007.65/5,098.95
  6. Step 6: Final answer
    x = 3,699.78

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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.