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Finding the Fourth Proportional to 5,203.57, 7,180.62 and 2,965.13

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Solution

The fourth proportional to 5,203.57, 7,180.62 and 2,965.13 is: 4,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.57 : 7,180.62 = 2,965.13 : x
  2. Step 2: Convert to fraction form
    5,203.57/7,180.62 = 2,965.13/x
  3. Step 3: Cross multiply
    5,203.57x = 7,180.62 × 2,965.13
  4. Step 4: Simplify right side
    5,203.57x = 21,291,471.78
  5. Step 5: Solve for x
    x = 21,291,471.78/5,203.57
  6. Step 6: Final answer
    x = 4,091.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.