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Finding the Fourth Proportional to 3,527.80, 5,293.50 and 1,449.40

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Solution

The fourth proportional to 3,527.80, 5,293.50 and 1,449.40 is: 2,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.80 : 5,293.50 = 1,449.40 : x
  2. Step 2: Convert to fraction form
    3,527.80/5,293.50 = 1,449.40/x
  3. Step 3: Cross multiply
    3,527.80x = 5,293.50 × 1,449.40
  4. Step 4: Simplify right side
    3,527.80x = 7,672,398.90
  5. Step 5: Solve for x
    x = 7,672,398.90/3,527.80
  6. Step 6: Final answer
    x = 2,174.84

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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.