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Finding the Fourth Proportional to 4,808.40, 7,196.40 and 4,225.20

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Solution

The fourth proportional to 4,808.40, 7,196.40 and 4,225.20 is: 6,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.40 : 7,196.40 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    4,808.40/7,196.40 = 4,225.20/x
  3. Step 3: Cross multiply
    4,808.40x = 7,196.40 × 4,225.20
  4. Step 4: Simplify right side
    4,808.40x = 30,406,229.28
  5. Step 5: Solve for x
    x = 30,406,229.28/4,808.40
  6. Step 6: Final answer
    x = 6,323.56

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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.