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Finding the Fourth Proportional to 3,930.84, 5,896.32 and 1,009.08

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Solution

The fourth proportional to 3,930.84, 5,896.32 and 1,009.08 is: 1,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.84 : 5,896.32 = 1,009.08 : x
  2. Step 2: Convert to fraction form
    3,930.84/5,896.32 = 1,009.08/x
  3. Step 3: Cross multiply
    3,930.84x = 5,896.32 × 1,009.08
  4. Step 4: Simplify right side
    3,930.84x = 5,949,858.59
  5. Step 5: Solve for x
    x = 5,949,858.59/3,930.84
  6. Step 6: Final answer
    x = 1,513.64

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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.