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Finding the Fourth Proportional to 4,411.64, 6,601.67 and 3,820.71

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Solution

The fourth proportional to 4,411.64, 6,601.67 and 3,820.71 is: 5,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.64 : 6,601.67 = 3,820.71 : x
  2. Step 2: Convert to fraction form
    4,411.64/6,601.67 = 3,820.71/x
  3. Step 3: Cross multiply
    4,411.64x = 6,601.67 × 3,820.71
  4. Step 4: Simplify right side
    4,411.64x = 25,223,083.30
  5. Step 5: Solve for x
    x = 25,223,083.30/4,411.64
  6. Step 6: Final answer
    x = 5,717.39

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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.