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Finding the Fourth Proportional to 3,584.47, 5,374.60 and 1,084.92

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Solution

The fourth proportional to 3,584.47, 5,374.60 and 1,084.92 is: 1,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.47 : 5,374.60 = 1,084.92 : x
  2. Step 2: Convert to fraction form
    3,584.47/5,374.60 = 1,084.92/x
  3. Step 3: Cross multiply
    3,584.47x = 5,374.60 × 1,084.92
  4. Step 4: Simplify right side
    3,584.47x = 5,831,011.03
  5. Step 5: Solve for x
    x = 5,831,011.03/3,584.47
  6. Step 6: Final answer
    x = 1,626.74

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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.