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Finding the Fourth Proportional to 3,546.52, 5,320.17 and 1,206.77

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Solution

The fourth proportional to 3,546.52, 5,320.17 and 1,206.77 is: 1,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.52 : 5,320.17 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    3,546.52/5,320.17 = 1,206.77/x
  3. Step 3: Cross multiply
    3,546.52x = 5,320.17 × 1,206.77
  4. Step 4: Simplify right side
    3,546.52x = 6,420,194.95
  5. Step 5: Solve for x
    x = 6,420,194.95/3,546.52
  6. Step 6: Final answer
    x = 1,810.28

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1.5x scale

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.