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Finding the Fourth Proportional to 4,974.78, 7,463.40 and 2,053.92

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Solution

The fourth proportional to 4,974.78, 7,463.40 and 2,053.92 is: 3,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.78 : 7,463.40 = 2,053.92 : x
  2. Step 2: Convert to fraction form
    4,974.78/7,463.40 = 2,053.92/x
  3. Step 3: Cross multiply
    4,974.78x = 7,463.40 × 2,053.92
  4. Step 4: Simplify right side
    4,974.78x = 15,329,226.53
  5. Step 5: Solve for x
    x = 15,329,226.53/4,974.78
  6. Step 6: Final answer
    x = 3,081.39

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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.