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Finding the Fourth Proportional to 5,320.40, 7,341 and 3,195.20

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Solution

The fourth proportional to 5,320.40, 7,341 and 3,195.20 is: 4,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.40 : 7,341 = 3,195.20 : x
  2. Step 2: Convert to fraction form
    5,320.40/7,341 = 3,195.20/x
  3. Step 3: Cross multiply
    5,320.40x = 7,341 × 3,195.20
  4. Step 4: Simplify right side
    5,320.40x = 23,455,963.20
  5. Step 5: Solve for x
    x = 23,455,963.20/5,320.40
  6. Step 6: Final answer
    x = 4,408.68

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