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Finding the Fourth Proportional to 5,359, 7,395.44 and 3,496

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Solution

The fourth proportional to 5,359, 7,395.44 and 3,496 is: 4,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359 : 7,395.44 = 3,496 : x
  2. Step 2: Convert to fraction form
    5,359/7,395.44 = 3,496/x
  3. Step 3: Cross multiply
    5,359x = 7,395.44 × 3,496
  4. Step 4: Simplify right side
    5,359x = 25,854,458.24
  5. Step 5: Solve for x
    x = 25,854,458.24/5,359
  6. Step 6: Final answer
    x = 4,824.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.