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Finding the Fourth Proportional to 5,111.88, 7,661.32 and 2,646.24

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Solution

The fourth proportional to 5,111.88, 7,661.32 and 2,646.24 is: 3,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.88 : 7,661.32 = 2,646.24 : x
  2. Step 2: Convert to fraction form
    5,111.88/7,661.32 = 2,646.24/x
  3. Step 3: Cross multiply
    5,111.88x = 7,661.32 × 2,646.24
  4. Step 4: Simplify right side
    5,111.88x = 20,273,691.44
  5. Step 5: Solve for x
    x = 20,273,691.44/5,111.88
  6. Step 6: Final answer
    x = 3,966.00

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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.