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Finding the Fourth Proportional to 3,767.76, 5,652.41 and 1,302.25

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Solution

The fourth proportional to 3,767.76, 5,652.41 and 1,302.25 is: 1,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.76 : 5,652.41 = 1,302.25 : x
  2. Step 2: Convert to fraction form
    3,767.76/5,652.41 = 1,302.25/x
  3. Step 3: Cross multiply
    3,767.76x = 5,652.41 × 1,302.25
  4. Step 4: Simplify right side
    3,767.76x = 7,360,850.92
  5. Step 5: Solve for x
    x = 7,360,850.92/3,767.76
  6. Step 6: Final answer
    x = 1,953.64

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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.