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Finding the Fourth Proportional to 2,959.66, 4,431.92 and 2,872.08

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Solution

The fourth proportional to 2,959.66, 4,431.92 and 2,872.08 is: 4,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.66 : 4,431.92 = 2,872.08 : x
  2. Step 2: Convert to fraction form
    2,959.66/4,431.92 = 2,872.08/x
  3. Step 3: Cross multiply
    2,959.66x = 4,431.92 × 2,872.08
  4. Step 4: Simplify right side
    2,959.66x = 12,728,828.79
  5. Step 5: Solve for x
    x = 12,728,828.79/2,959.66
  6. Step 6: Final answer
    x = 4,300.77

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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.