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Finding the Fourth Proportional to 3,792.32, 5,685.01 and 3,211.06

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Solution

The fourth proportional to 3,792.32, 5,685.01 and 3,211.06 is: 4,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.32 : 5,685.01 = 3,211.06 : x
  2. Step 2: Convert to fraction form
    3,792.32/5,685.01 = 3,211.06/x
  3. Step 3: Cross multiply
    3,792.32x = 5,685.01 × 3,211.06
  4. Step 4: Simplify right side
    3,792.32x = 18,254,908.21
  5. Step 5: Solve for x
    x = 18,254,908.21/3,792.32
  6. Step 6: Final answer
    x = 4,813.65

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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.