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Finding the Fourth Proportional to 3,584.09, 5,373.84 and 1,390.48

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Solution

The fourth proportional to 3,584.09, 5,373.84 and 1,390.48 is: 2,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.09 : 5,373.84 = 1,390.48 : x
  2. Step 2: Convert to fraction form
    3,584.09/5,373.84 = 1,390.48/x
  3. Step 3: Cross multiply
    3,584.09x = 5,373.84 × 1,390.48
  4. Step 4: Simplify right side
    3,584.09x = 7,472,217.04
  5. Step 5: Solve for x
    x = 7,472,217.04/3,584.09
  6. Step 6: Final answer
    x = 2,084.83

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