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Finding the Fourth Proportional to 2,956.32, 4,083.84 and 2,800.80

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Solution

The fourth proportional to 2,956.32, 4,083.84 and 2,800.80 is: 3,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.32 : 4,083.84 = 2,800.80 : x
  2. Step 2: Convert to fraction form
    2,956.32/4,083.84 = 2,800.80/x
  3. Step 3: Cross multiply
    2,956.32x = 4,083.84 × 2,800.80
  4. Step 4: Simplify right side
    2,956.32x = 11,438,019.07
  5. Step 5: Solve for x
    x = 11,438,019.07/2,956.32
  6. Step 6: Final answer
    x = 3,869.01

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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.