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Finding the Fourth Proportional to 3,507.72, 5,260.95 and 1,167.77

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Solution

The fourth proportional to 3,507.72, 5,260.95 and 1,167.77 is: 1,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.72 : 5,260.95 = 1,167.77 : x
  2. Step 2: Convert to fraction form
    3,507.72/5,260.95 = 1,167.77/x
  3. Step 3: Cross multiply
    3,507.72x = 5,260.95 × 1,167.77
  4. Step 4: Simplify right side
    3,507.72x = 6,143,553.28
  5. Step 5: Solve for x
    x = 6,143,553.28/3,507.72
  6. Step 6: Final answer
    x = 1,751.44

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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.