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Finding the Fourth Proportional to 5,335.82, 7,982.78 and 4,712.53

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Solution

The fourth proportional to 5,335.82, 7,982.78 and 4,712.53 is: 7,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.82 : 7,982.78 = 4,712.53 : x
  2. Step 2: Convert to fraction form
    5,335.82/7,982.78 = 4,712.53/x
  3. Step 3: Cross multiply
    5,335.82x = 7,982.78 × 4,712.53
  4. Step 4: Simplify right side
    5,335.82x = 37,619,074.94
  5. Step 5: Solve for x
    x = 37,619,074.94/5,335.82
  6. Step 6: Final answer
    x = 7,050.28

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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.