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Finding the Fourth Proportional to 5,432, 7,496.80 and 3,224

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Solution

The fourth proportional to 5,432, 7,496.80 and 3,224 is: 4,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432 : 7,496.80 = 3,224 : x
  2. Step 2: Convert to fraction form
    5,432/7,496.80 = 3,224/x
  3. Step 3: Cross multiply
    5,432x = 7,496.80 × 3,224
  4. Step 4: Simplify right side
    5,432x = 24,169,683.20
  5. Step 5: Solve for x
    x = 24,169,683.20/5,432
  6. Step 6: Final answer
    x = 4,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.