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Finding the Fourth Proportional to 5,411.75, 7,468.59 and 3,022.19

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Solution

The fourth proportional to 5,411.75, 7,468.59 and 3,022.19 is: 4,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.75 : 7,468.59 = 3,022.19 : x
  2. Step 2: Convert to fraction form
    5,411.75/7,468.59 = 3,022.19/x
  3. Step 3: Cross multiply
    5,411.75x = 7,468.59 × 3,022.19
  4. Step 4: Simplify right side
    5,411.75x = 22,571,460.67
  5. Step 5: Solve for x
    x = 22,571,460.67/5,411.75
  6. Step 6: Final answer
    x = 4,170.83

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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.