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Finding the Fourth Proportional to 5,384.80, 8,070.80 and 2,264.80

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Solution

The fourth proportional to 5,384.80, 8,070.80 and 2,264.80 is: 3,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.80 : 8,070.80 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    5,384.80/8,070.80 = 2,264.80/x
  3. Step 3: Cross multiply
    5,384.80x = 8,070.80 × 2,264.80
  4. Step 4: Simplify right side
    5,384.80x = 18,278,747.84
  5. Step 5: Solve for x
    x = 18,278,747.84/5,384.80
  6. Step 6: Final answer
    x = 3,394.51

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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.