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Finding the Fourth Proportional to 5,764.39, 8,646.87 and 2,805.55

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Solution

The fourth proportional to 5,764.39, 8,646.87 and 2,805.55 is: 4,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.39 : 8,646.87 = 2,805.55 : x
  2. Step 2: Convert to fraction form
    5,764.39/8,646.87 = 2,805.55/x
  3. Step 3: Cross multiply
    5,764.39x = 8,646.87 × 2,805.55
  4. Step 4: Simplify right side
    5,764.39x = 24,259,226.13
  5. Step 5: Solve for x
    x = 24,259,226.13/5,764.39
  6. Step 6: Final answer
    x = 4,208.46

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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.