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Finding the Fourth Proportional to 4,604.47, 6,902.71 and 2,138.02

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Solution

The fourth proportional to 4,604.47, 6,902.71 and 2,138.02 is: 3,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.47 : 6,902.71 = 2,138.02 : x
  2. Step 2: Convert to fraction form
    4,604.47/6,902.71 = 2,138.02/x
  3. Step 3: Cross multiply
    4,604.47x = 6,902.71 × 2,138.02
  4. Step 4: Simplify right side
    4,604.47x = 14,758,132.03
  5. Step 5: Solve for x
    x = 14,758,132.03/4,604.47
  6. Step 6: Final answer
    x = 3,205.17

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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.