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Finding the Fourth Proportional to 3,847.90, 5,320.47 and 3,355.84

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Solution

The fourth proportional to 3,847.90, 5,320.47 and 3,355.84 is: 4,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.90 : 5,320.47 = 3,355.84 : x
  2. Step 2: Convert to fraction form
    3,847.90/5,320.47 = 3,355.84/x
  3. Step 3: Cross multiply
    3,847.90x = 5,320.47 × 3,355.84
  4. Step 4: Simplify right side
    3,847.90x = 17,854,646.04
  5. Step 5: Solve for x
    x = 17,854,646.04/3,847.90
  6. Step 6: Final answer
    x = 4,640.10

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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.