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Finding the Fourth Proportional to 3,760.02, 5,633.64 and 2,659

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Solution

The fourth proportional to 3,760.02, 5,633.64 and 2,659 is: 3,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.02 : 5,633.64 = 2,659 : x
  2. Step 2: Convert to fraction form
    3,760.02/5,633.64 = 2,659/x
  3. Step 3: Cross multiply
    3,760.02x = 5,633.64 × 2,659
  4. Step 4: Simplify right side
    3,760.02x = 14,979,848.76
  5. Step 5: Solve for x
    x = 14,979,848.76/3,760.02
  6. Step 6: Final answer
    x = 3,983.98

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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.