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Finding the Fourth Proportional to 3,896.76, 5,845.32 and 975.09

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Solution

The fourth proportional to 3,896.76, 5,845.32 and 975.09 is: 1,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.76 : 5,845.32 = 975.09 : x
  2. Step 2: Convert to fraction form
    3,896.76/5,845.32 = 975.09/x
  3. Step 3: Cross multiply
    3,896.76x = 5,845.32 × 975.09
  4. Step 4: Simplify right side
    3,896.76x = 5,699,713.08
  5. Step 5: Solve for x
    x = 5,699,713.08/3,896.76
  6. Step 6: Final answer
    x = 1,462.68

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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.