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Finding the Fourth Proportional to 3,514.83, 5,233.07 and 3,465.78

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Solution

The fourth proportional to 3,514.83, 5,233.07 and 3,465.78 is: 5,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.83 : 5,233.07 = 3,465.78 : x
  2. Step 2: Convert to fraction form
    3,514.83/5,233.07 = 3,465.78/x
  3. Step 3: Cross multiply
    3,514.83x = 5,233.07 × 3,465.78
  4. Step 4: Simplify right side
    3,514.83x = 18,136,643.18
  5. Step 5: Solve for x
    x = 18,136,643.18/3,514.83
  6. Step 6: Final answer
    x = 5,160.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.