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Finding the Fourth Proportional to 3,684.80, 5,527.20 and 1,377.20

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Solution

The fourth proportional to 3,684.80, 5,527.20 and 1,377.20 is: 2,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.80 : 5,527.20 = 1,377.20 : x
  2. Step 2: Convert to fraction form
    3,684.80/5,527.20 = 1,377.20/x
  3. Step 3: Cross multiply
    3,684.80x = 5,527.20 × 1,377.20
  4. Step 4: Simplify right side
    3,684.80x = 7,612,059.84
  5. Step 5: Solve for x
    x = 7,612,059.84/3,684.80
  6. Step 6: Final answer
    x = 2,065.80

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Why These Related Problems?

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