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Finding the Fourth Proportional to 3,896.58, 5,844.91 and 974.89

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Solution

The fourth proportional to 3,896.58, 5,844.91 and 974.89 is: 1,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.58 : 5,844.91 = 974.89 : x
  2. Step 2: Convert to fraction form
    3,896.58/5,844.91 = 974.89/x
  3. Step 3: Cross multiply
    3,896.58x = 5,844.91 × 974.89
  4. Step 4: Simplify right side
    3,896.58x = 5,698,118.13
  5. Step 5: Solve for x
    x = 5,698,118.13/3,896.58
  6. Step 6: Final answer
    x = 1,462.34

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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.