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Finding the Fourth Proportional to 4,264.80, 6,405.12 and 2,544

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Solution

The fourth proportional to 4,264.80, 6,405.12 and 2,544 is: 3,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.80 : 6,405.12 = 2,544 : x
  2. Step 2: Convert to fraction form
    4,264.80/6,405.12 = 2,544/x
  3. Step 3: Cross multiply
    4,264.80x = 6,405.12 × 2,544
  4. Step 4: Simplify right side
    4,264.80x = 16,294,625.28
  5. Step 5: Solve for x
    x = 16,294,625.28/4,264.80
  6. Step 6: Final answer
    x = 3,820.72

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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.