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Finding the Fourth Proportional to 5,627.91, 7,764.65 and 3,388.94

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Solution

The fourth proportional to 5,627.91, 7,764.65 and 3,388.94 is: 4,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.91 : 7,764.65 = 3,388.94 : x
  2. Step 2: Convert to fraction form
    5,627.91/7,764.65 = 3,388.94/x
  3. Step 3: Cross multiply
    5,627.91x = 7,764.65 × 3,388.94
  4. Step 4: Simplify right side
    5,627.91x = 26,313,877.20
  5. Step 5: Solve for x
    x = 26,313,877.20/5,627.91
  6. Step 6: Final answer
    x = 4,675.60

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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.