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Finding the Fourth Proportional to 3,799.95, 5,700.13 and 1,202.69

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Solution

The fourth proportional to 3,799.95, 5,700.13 and 1,202.69 is: 1,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.95 : 5,700.13 = 1,202.69 : x
  2. Step 2: Convert to fraction form
    3,799.95/5,700.13 = 1,202.69/x
  3. Step 3: Cross multiply
    3,799.95x = 5,700.13 × 1,202.69
  4. Step 4: Simplify right side
    3,799.95x = 6,855,489.35
  5. Step 5: Solve for x
    x = 6,855,489.35/3,799.95
  6. Step 6: Final answer
    x = 1,804.10

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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.