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Finding the Fourth Proportional to 4,657.17, 6,981.09 and 2,578.11

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Solution

The fourth proportional to 4,657.17, 6,981.09 and 2,578.11 is: 3,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.17 : 6,981.09 = 2,578.11 : x
  2. Step 2: Convert to fraction form
    4,657.17/6,981.09 = 2,578.11/x
  3. Step 3: Cross multiply
    4,657.17x = 6,981.09 × 2,578.11
  4. Step 4: Simplify right side
    4,657.17x = 17,998,017.94
  5. Step 5: Solve for x
    x = 17,998,017.94/4,657.17
  6. Step 6: Final answer
    x = 3,864.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.