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Finding the Fourth Proportional to 4,402.24, 6,604.74 and 2,649.16

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Solution

The fourth proportional to 4,402.24, 6,604.74 and 2,649.16 is: 3,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.24 : 6,604.74 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    4,402.24/6,604.74 = 2,649.16/x
  3. Step 3: Cross multiply
    4,402.24x = 6,604.74 × 2,649.16
  4. Step 4: Simplify right side
    4,402.24x = 17,497,013.02
  5. Step 5: Solve for x
    x = 17,497,013.02/4,402.24
  6. Step 6: Final answer
    x = 3,974.57

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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.