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Finding the Fourth Proportional to 2,967.78, 4,065.84 and 2,857.02

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Solution

The fourth proportional to 2,967.78, 4,065.84 and 2,857.02 is: 3,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.78 : 4,065.84 = 2,857.02 : x
  2. Step 2: Convert to fraction form
    2,967.78/4,065.84 = 2,857.02/x
  3. Step 3: Cross multiply
    2,967.78x = 4,065.84 × 2,857.02
  4. Step 4: Simplify right side
    2,967.78x = 11,616,186.20
  5. Step 5: Solve for x
    x = 11,616,186.20/2,967.78
  6. Step 6: Final answer
    x = 3,914.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.