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Finding the Fourth Proportional to 5,496, 8,244 and 1,600.71

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Solution

The fourth proportional to 5,496, 8,244 and 1,600.71 is: 2,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496 : 8,244 = 1,600.71 : x
  2. Step 2: Convert to fraction form
    5,496/8,244 = 1,600.71/x
  3. Step 3: Cross multiply
    5,496x = 8,244 × 1,600.71
  4. Step 4: Simplify right side
    5,496x = 13,196,253.24
  5. Step 5: Solve for x
    x = 13,196,253.24/5,496
  6. Step 6: Final answer
    x = 2,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.