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Finding the Fourth Proportional to 5,199.93, 7,799.58 and 2,278.23

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Solution

The fourth proportional to 5,199.93, 7,799.58 and 2,278.23 is: 3,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.93 : 7,799.58 = 2,278.23 : x
  2. Step 2: Convert to fraction form
    5,199.93/7,799.58 = 2,278.23/x
  3. Step 3: Cross multiply
    5,199.93x = 7,799.58 × 2,278.23
  4. Step 4: Simplify right side
    5,199.93x = 17,769,237.14
  5. Step 5: Solve for x
    x = 17,769,237.14/5,199.93
  6. Step 6: Final answer
    x = 3,417.21

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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.