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Finding the Fourth Proportional to 3,765.34, 5,648.01 and 1,816.17

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Solution

The fourth proportional to 3,765.34, 5,648.01 and 1,816.17 is: 2,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.34 : 5,648.01 = 1,816.17 : x
  2. Step 2: Convert to fraction form
    3,765.34/5,648.01 = 1,816.17/x
  3. Step 3: Cross multiply
    3,765.34x = 5,648.01 × 1,816.17
  4. Step 4: Simplify right side
    3,765.34x = 10,257,760.32
  5. Step 5: Solve for x
    x = 10,257,760.32/3,765.34
  6. Step 6: Final answer
    x = 2,724.26

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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.