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Finding the Fourth Proportional to 5,645.58, 7,788.42 and 3,286.32

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Solution

The fourth proportional to 5,645.58, 7,788.42 and 3,286.32 is: 4,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.58 : 7,788.42 = 3,286.32 : x
  2. Step 2: Convert to fraction form
    5,645.58/7,788.42 = 3,286.32/x
  3. Step 3: Cross multiply
    5,645.58x = 7,788.42 × 3,286.32
  4. Step 4: Simplify right side
    5,645.58x = 25,595,240.41
  5. Step 5: Solve for x
    x = 25,595,240.41/5,645.58
  6. Step 6: Final answer
    x = 4,533.68

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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.