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Finding the Fourth Proportional to 5,138.91, 7,704.52 and 4,617.41

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Solution

The fourth proportional to 5,138.91, 7,704.52 and 4,617.41 is: 6,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.91 : 7,704.52 = 4,617.41 : x
  2. Step 2: Convert to fraction form
    5,138.91/7,704.52 = 4,617.41/x
  3. Step 3: Cross multiply
    5,138.91x = 7,704.52 × 4,617.41
  4. Step 4: Simplify right side
    5,138.91x = 35,574,877.63
  5. Step 5: Solve for x
    x = 35,574,877.63/5,138.91
  6. Step 6: Final answer
    x = 6,922.65

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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.