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Finding the Fourth Proportional to 3,003.64, 4,147.88 and 2,840.02

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Solution

The fourth proportional to 3,003.64, 4,147.88 and 2,840.02 is: 3,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.64 : 4,147.88 = 2,840.02 : x
  2. Step 2: Convert to fraction form
    3,003.64/4,147.88 = 2,840.02/x
  3. Step 3: Cross multiply
    3,003.64x = 4,147.88 × 2,840.02
  4. Step 4: Simplify right side
    3,003.64x = 11,780,047.96
  5. Step 5: Solve for x
    x = 11,780,047.96/3,003.64
  6. Step 6: Final answer
    x = 3,921.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.