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Finding the Fourth Proportional to 5,381.60, 7,426.08 and 3,023.68

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Solution

The fourth proportional to 5,381.60, 7,426.08 and 3,023.68 is: 4,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.60 : 7,426.08 = 3,023.68 : x
  2. Step 2: Convert to fraction form
    5,381.60/7,426.08 = 3,023.68/x
  3. Step 3: Cross multiply
    5,381.60x = 7,426.08 × 3,023.68
  4. Step 4: Simplify right side
    5,381.60x = 22,454,089.57
  5. Step 5: Solve for x
    x = 22,454,089.57/5,381.60
  6. Step 6: Final answer
    x = 4,172.38

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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.