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Finding the Fourth Proportional to 3,432.44, 5,148.65 and 967.25

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Solution

The fourth proportional to 3,432.44, 5,148.65 and 967.25 is: 1,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.44 : 5,148.65 = 967.25 : x
  2. Step 2: Convert to fraction form
    3,432.44/5,148.65 = 967.25/x
  3. Step 3: Cross multiply
    3,432.44x = 5,148.65 × 967.25
  4. Step 4: Simplify right side
    3,432.44x = 4,980,047.00
  5. Step 5: Solve for x
    x = 4,980,047.00/3,432.44
  6. Step 6: Final answer
    x = 1,450.88

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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.