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Finding the Fourth Proportional to 3,870.76, 5,806.62 and 2,832.04

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Solution

The fourth proportional to 3,870.76, 5,806.62 and 2,832.04 is: 4,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.76 : 5,806.62 = 2,832.04 : x
  2. Step 2: Convert to fraction form
    3,870.76/5,806.62 = 2,832.04/x
  3. Step 3: Cross multiply
    3,870.76x = 5,806.62 × 2,832.04
  4. Step 4: Simplify right side
    3,870.76x = 16,444,580.10
  5. Step 5: Solve for x
    x = 16,444,580.10/3,870.76
  6. Step 6: Final answer
    x = 4,248.41

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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.