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Finding the Fourth Proportional to 4,494.24, 6,726.90 and 2,409

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Solution

The fourth proportional to 4,494.24, 6,726.90 and 2,409 is: 3,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.24 : 6,726.90 = 2,409 : x
  2. Step 2: Convert to fraction form
    4,494.24/6,726.90 = 2,409/x
  3. Step 3: Cross multiply
    4,494.24x = 6,726.90 × 2,409
  4. Step 4: Simplify right side
    4,494.24x = 16,205,102.10
  5. Step 5: Solve for x
    x = 16,205,102.10/4,494.24
  6. Step 6: Final answer
    x = 3,605.75

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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.