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Finding the Fourth Proportional to 3,802.38, 5,703.21 and 1,952.46

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Solution

The fourth proportional to 3,802.38, 5,703.21 and 1,952.46 is: 2,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.38 : 5,703.21 = 1,952.46 : x
  2. Step 2: Convert to fraction form
    3,802.38/5,703.21 = 1,952.46/x
  3. Step 3: Cross multiply
    3,802.38x = 5,703.21 × 1,952.46
  4. Step 4: Simplify right side
    3,802.38x = 11,135,289.40
  5. Step 5: Solve for x
    x = 11,135,289.40/3,802.38
  6. Step 6: Final answer
    x = 2,928.51

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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.