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Finding the Fourth Proportional to 3,799.70, 5,697.84 and 1,607.30

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Solution

The fourth proportional to 3,799.70, 5,697.84 and 1,607.30 is: 2,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.70 : 5,697.84 = 1,607.30 : x
  2. Step 2: Convert to fraction form
    3,799.70/5,697.84 = 1,607.30/x
  3. Step 3: Cross multiply
    3,799.70x = 5,697.84 × 1,607.30
  4. Step 4: Simplify right side
    3,799.70x = 9,158,138.23
  5. Step 5: Solve for x
    x = 9,158,138.23/3,799.70
  6. Step 6: Final answer
    x = 2,410.23

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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.