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Finding the Fourth Proportional to 3,514.95, 5,273.10 and 1,049.71

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Solution

The fourth proportional to 3,514.95, 5,273.10 and 1,049.71 is: 1,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.95 : 5,273.10 = 1,049.71 : x
  2. Step 2: Convert to fraction form
    3,514.95/5,273.10 = 1,049.71/x
  3. Step 3: Cross multiply
    3,514.95x = 5,273.10 × 1,049.71
  4. Step 4: Simplify right side
    3,514.95x = 5,535,225.80
  5. Step 5: Solve for x
    x = 5,535,225.80/3,514.95
  6. Step 6: Final answer
    x = 1,574.77

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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.