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Finding the Fourth Proportional to 3,765.74, 5,644.74 and 2,533.50

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Solution

The fourth proportional to 3,765.74, 5,644.74 and 2,533.50 is: 3,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.74 : 5,644.74 = 2,533.50 : x
  2. Step 2: Convert to fraction form
    3,765.74/5,644.74 = 2,533.50/x
  3. Step 3: Cross multiply
    3,765.74x = 5,644.74 × 2,533.50
  4. Step 4: Simplify right side
    3,765.74x = 14,300,959.92
  5. Step 5: Solve for x
    x = 14,300,959.92/3,765.74
  6. Step 6: Final answer
    x = 3,797.65

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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.