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Finding the Fourth Proportional to 5,432.42, 7,496.66 and 2,948.42

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Solution

The fourth proportional to 5,432.42, 7,496.66 and 2,948.42 is: 4,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.42 : 7,496.66 = 2,948.42 : x
  2. Step 2: Convert to fraction form
    5,432.42/7,496.66 = 2,948.42/x
  3. Step 3: Cross multiply
    5,432.42x = 7,496.66 × 2,948.42
  4. Step 4: Simplify right side
    5,432.42x = 22,103,302.28
  5. Step 5: Solve for x
    x = 22,103,302.28/5,432.42
  6. Step 6: Final answer
    x = 4,068.78

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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.