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Finding the Fourth Proportional to 3,674.52, 5,511.77 and 1,077.46

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Solution

The fourth proportional to 3,674.52, 5,511.77 and 1,077.46 is: 1,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.52 : 5,511.77 = 1,077.46 : x
  2. Step 2: Convert to fraction form
    3,674.52/5,511.77 = 1,077.46/x
  3. Step 3: Cross multiply
    3,674.52x = 5,511.77 × 1,077.46
  4. Step 4: Simplify right side
    3,674.52x = 5,938,711.70
  5. Step 5: Solve for x
    x = 5,938,711.70/3,674.52
  6. Step 6: Final answer
    x = 1,616.19

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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.