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Finding the Fourth Proportional to 5,381.32, 7,426.32 and 3,023.46

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Solution

The fourth proportional to 5,381.32, 7,426.32 and 3,023.46 is: 4,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.32 : 7,426.32 = 3,023.46 : x
  2. Step 2: Convert to fraction form
    5,381.32/7,426.32 = 3,023.46/x
  3. Step 3: Cross multiply
    5,381.32x = 7,426.32 × 3,023.46
  4. Step 4: Simplify right side
    5,381.32x = 22,453,181.47
  5. Step 5: Solve for x
    x = 22,453,181.47/5,381.32
  6. Step 6: Final answer
    x = 4,172.43

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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.