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Finding the Fourth Proportional to 3,802.46, 5,701.77 and 2,158.56

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Solution

The fourth proportional to 3,802.46, 5,701.77 and 2,158.56 is: 3,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.46 : 5,701.77 = 2,158.56 : x
  2. Step 2: Convert to fraction form
    3,802.46/5,701.77 = 2,158.56/x
  3. Step 3: Cross multiply
    3,802.46x = 5,701.77 × 2,158.56
  4. Step 4: Simplify right side
    3,802.46x = 12,307,612.65
  5. Step 5: Solve for x
    x = 12,307,612.65/3,802.46
  6. Step 6: Final answer
    x = 3,236.75

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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.