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Finding the Fourth Proportional to 5,266.30, 7,894.05 and 3,073.90

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Solution

The fourth proportional to 5,266.30, 7,894.05 and 3,073.90 is: 4,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.30 : 7,894.05 = 3,073.90 : x
  2. Step 2: Convert to fraction form
    5,266.30/7,894.05 = 3,073.90/x
  3. Step 3: Cross multiply
    5,266.30x = 7,894.05 × 3,073.90
  4. Step 4: Simplify right side
    5,266.30x = 24,265,520.30
  5. Step 5: Solve for x
    x = 24,265,520.30/5,266.30
  6. Step 6: Final answer
    x = 4,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.