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Finding the Fourth Proportional to 5,646.80, 7,793.88 and 3,758.45

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Solution

The fourth proportional to 5,646.80, 7,793.88 and 3,758.45 is: 5,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.80 : 7,793.88 = 3,758.45 : x
  2. Step 2: Convert to fraction form
    5,646.80/7,793.88 = 3,758.45/x
  3. Step 3: Cross multiply
    5,646.80x = 7,793.88 × 3,758.45
  4. Step 4: Simplify right side
    5,646.80x = 29,292,918.37
  5. Step 5: Solve for x
    x = 29,292,918.37/5,646.80
  6. Step 6: Final answer
    x = 5,187.53

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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.