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Finding the Fourth Proportional to 5,286.24, 7,930.32 and 2,364.48

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Solution

The fourth proportional to 5,286.24, 7,930.32 and 2,364.48 is: 3,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.24 : 7,930.32 = 2,364.48 : x
  2. Step 2: Convert to fraction form
    5,286.24/7,930.32 = 2,364.48/x
  3. Step 3: Cross multiply
    5,286.24x = 7,930.32 × 2,364.48
  4. Step 4: Simplify right side
    5,286.24x = 18,751,083.03
  5. Step 5: Solve for x
    x = 18,751,083.03/5,286.24
  6. Step 6: Final answer
    x = 3,547.15

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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.