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Finding the Fourth Proportional to 4,976.36, 7,463.47 and 1,465.41

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Solution

The fourth proportional to 4,976.36, 7,463.47 and 1,465.41 is: 2,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.36 : 7,463.47 = 1,465.41 : x
  2. Step 2: Convert to fraction form
    4,976.36/7,463.47 = 1,465.41/x
  3. Step 3: Cross multiply
    4,976.36x = 7,463.47 × 1,465.41
  4. Step 4: Simplify right side
    4,976.36x = 10,937,043.57
  5. Step 5: Solve for x
    x = 10,937,043.57/4,976.36
  6. Step 6: Final answer
    x = 2,197.80

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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.