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Finding the Fourth Proportional to 5,705.96, 7,868.02 and 3,712.82

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Solution

The fourth proportional to 5,705.96, 7,868.02 and 3,712.82 is: 5,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.96 : 7,868.02 = 3,712.82 : x
  2. Step 2: Convert to fraction form
    5,705.96/7,868.02 = 3,712.82/x
  3. Step 3: Cross multiply
    5,705.96x = 7,868.02 × 3,712.82
  4. Step 4: Simplify right side
    5,705.96x = 29,212,542.02
  5. Step 5: Solve for x
    x = 29,212,542.02/5,705.96
  6. Step 6: Final answer
    x = 5,119.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.