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Finding the Fourth Proportional to 3,646.80, 5,502.78 and 3,193.20

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Solution

The fourth proportional to 3,646.80, 5,502.78 and 3,193.20 is: 4,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.80 : 5,502.78 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    3,646.80/5,502.78 = 3,193.20/x
  3. Step 3: Cross multiply
    3,646.80x = 5,502.78 × 3,193.20
  4. Step 4: Simplify right side
    3,646.80x = 17,571,477.10
  5. Step 5: Solve for x
    x = 17,571,477.10/3,646.80
  6. Step 6: Final answer
    x = 4,818.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.