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Finding the Fourth Proportional to 5,786.34, 7,985.14 and 3,133.74

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Solution

The fourth proportional to 5,786.34, 7,985.14 and 3,133.74 is: 4,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.34 : 7,985.14 = 3,133.74 : x
  2. Step 2: Convert to fraction form
    5,786.34/7,985.14 = 3,133.74/x
  3. Step 3: Cross multiply
    5,786.34x = 7,985.14 × 3,133.74
  4. Step 4: Simplify right side
    5,786.34x = 25,023,372.59
  5. Step 5: Solve for x
    x = 25,023,372.59/5,786.34
  6. Step 6: Final answer
    x = 4,324.56

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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.