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Finding the Fourth Proportional to 3,767.64, 5,652.30 and 1,170.84

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Solution

The fourth proportional to 3,767.64, 5,652.30 and 1,170.84 is: 1,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.64 : 5,652.30 = 1,170.84 : x
  2. Step 2: Convert to fraction form
    3,767.64/5,652.30 = 1,170.84/x
  3. Step 3: Cross multiply
    3,767.64x = 5,652.30 × 1,170.84
  4. Step 4: Simplify right side
    3,767.64x = 6,617,938.93
  5. Step 5: Solve for x
    x = 6,617,938.93/3,767.64
  6. Step 6: Final answer
    x = 1,756.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.