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Finding the Fourth Proportional to 5,301.54, 7,286.31 and 5,153.94

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Solution

The fourth proportional to 5,301.54, 7,286.31 and 5,153.94 is: 7,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.54 : 7,286.31 = 5,153.94 : x
  2. Step 2: Convert to fraction form
    5,301.54/7,286.31 = 5,153.94/x
  3. Step 3: Cross multiply
    5,301.54x = 7,286.31 × 5,153.94
  4. Step 4: Simplify right side
    5,301.54x = 37,553,204.56
  5. Step 5: Solve for x
    x = 37,553,204.56/5,301.54
  6. Step 6: Final answer
    x = 7,083.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.