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Finding the Fourth Proportional to 5,468.40, 8,212.20 and 5,295.60

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Solution

The fourth proportional to 5,468.40, 8,212.20 and 5,295.60 is: 7,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.40 : 8,212.20 = 5,295.60 : x
  2. Step 2: Convert to fraction form
    5,468.40/8,212.20 = 5,295.60/x
  3. Step 3: Cross multiply
    5,468.40x = 8,212.20 × 5,295.60
  4. Step 4: Simplify right side
    5,468.40x = 43,488,526.32
  5. Step 5: Solve for x
    x = 43,488,526.32/5,468.40
  6. Step 6: Final answer
    x = 7,952.70

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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.