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Finding the Fourth Proportional to 3,807.36, 5,252.40 and 2,966.64

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Solution

The fourth proportional to 3,807.36, 5,252.40 and 2,966.64 is: 4,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,252.40 = 2,966.64 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,252.40 = 2,966.64/x
  3. Step 3: Cross multiply
    3,807.36x = 5,252.40 × 2,966.64
  4. Step 4: Simplify right side
    3,807.36x = 15,581,979.94
  5. Step 5: Solve for x
    x = 15,581,979.94/3,807.36
  6. Step 6: Final answer
    x = 4,092.59

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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.