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Finding the Fourth Proportional to 4,974.86, 7,463.31 and 2,053.16

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Solution

The fourth proportional to 4,974.86, 7,463.31 and 2,053.16 is: 3,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.86 : 7,463.31 = 2,053.16 : x
  2. Step 2: Convert to fraction form
    4,974.86/7,463.31 = 2,053.16/x
  3. Step 3: Cross multiply
    4,974.86x = 7,463.31 × 2,053.16
  4. Step 4: Simplify right side
    4,974.86x = 15,323,367.36
  5. Step 5: Solve for x
    x = 15,323,367.36/4,974.86
  6. Step 6: Final answer
    x = 3,080.16

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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.