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Finding the Fourth Proportional to 3,527.60, 5,280.60 and 3,138.80

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Solution

The fourth proportional to 3,527.60, 5,280.60 and 3,138.80 is: 4,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.60 : 5,280.60 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    3,527.60/5,280.60 = 3,138.80/x
  3. Step 3: Cross multiply
    3,527.60x = 5,280.60 × 3,138.80
  4. Step 4: Simplify right side
    3,527.60x = 16,574,747.28
  5. Step 5: Solve for x
    x = 16,574,747.28/3,527.60
  6. Step 6: Final answer
    x = 4,698.59

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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.