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Finding the Fourth Proportional to 5,432.81, 7,497.38 and 2,948.81

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Solution

The fourth proportional to 5,432.81, 7,497.38 and 2,948.81 is: 4,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.81 : 7,497.38 = 2,948.81 : x
  2. Step 2: Convert to fraction form
    5,432.81/7,497.38 = 2,948.81/x
  3. Step 3: Cross multiply
    5,432.81x = 7,497.38 × 2,948.81
  4. Step 4: Simplify right side
    5,432.81x = 22,108,353.12
  5. Step 5: Solve for x
    x = 22,108,353.12/5,432.81
  6. Step 6: Final answer
    x = 4,069.41

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1.5x scale

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.