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Finding the Fourth Proportional to 4,896.51, 7,344.75 and 1,974.78

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Solution

The fourth proportional to 4,896.51, 7,344.75 and 1,974.78 is: 2,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.51 : 7,344.75 = 1,974.78 : x
  2. Step 2: Convert to fraction form
    4,896.51/7,344.75 = 1,974.78/x
  3. Step 3: Cross multiply
    4,896.51x = 7,344.75 × 1,974.78
  4. Step 4: Simplify right side
    4,896.51x = 14,504,265.41
  5. Step 5: Solve for x
    x = 14,504,265.41/4,896.51
  6. Step 6: Final answer
    x = 2,962.16

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Similar ratio
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1.5x scale

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.