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Finding the Fourth Proportional to 5,208.40, 7,814.40 and 2,287.60

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Solution

The fourth proportional to 5,208.40, 7,814.40 and 2,287.60 is: 3,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.40 : 7,814.40 = 2,287.60 : x
  2. Step 2: Convert to fraction form
    5,208.40/7,814.40 = 2,287.60/x
  3. Step 3: Cross multiply
    5,208.40x = 7,814.40 × 2,287.60
  4. Step 4: Simplify right side
    5,208.40x = 17,876,221.44
  5. Step 5: Solve for x
    x = 17,876,221.44/5,208.40
  6. Step 6: Final answer
    x = 3,432.19

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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.