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Finding the Fourth Proportional to 3,768, 5,652.16 and 1,032

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Solution

The fourth proportional to 3,768, 5,652.16 and 1,032 is: 1,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768 : 5,652.16 = 1,032 : x
  2. Step 2: Convert to fraction form
    3,768/5,652.16 = 1,032/x
  3. Step 3: Cross multiply
    3,768x = 5,652.16 × 1,032
  4. Step 4: Simplify right side
    3,768x = 5,833,029.12
  5. Step 5: Solve for x
    x = 5,833,029.12/3,768
  6. Step 6: Final answer
    x = 1,548.04

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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.