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Finding the Fourth Proportional to 5,199.44, 7,807.80 and 5,159.12

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Solution

The fourth proportional to 5,199.44, 7,807.80 and 5,159.12 is: 7,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.44 : 7,807.80 = 5,159.12 : x
  2. Step 2: Convert to fraction form
    5,199.44/7,807.80 = 5,159.12/x
  3. Step 3: Cross multiply
    5,199.44x = 7,807.80 × 5,159.12
  4. Step 4: Simplify right side
    5,199.44x = 40,281,377.14
  5. Step 5: Solve for x
    x = 40,281,377.14/5,199.44
  6. Step 6: Final answer
    x = 7,747.25

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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.