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Finding the Fourth Proportional to 5,671.77, 7,828.14 and 3,882.87

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Solution

The fourth proportional to 5,671.77, 7,828.14 and 3,882.87 is: 5,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.77 : 7,828.14 = 3,882.87 : x
  2. Step 2: Convert to fraction form
    5,671.77/7,828.14 = 3,882.87/x
  3. Step 3: Cross multiply
    5,671.77x = 7,828.14 × 3,882.87
  4. Step 4: Simplify right side
    5,671.77x = 30,395,649.96
  5. Step 5: Solve for x
    x = 30,395,649.96/5,671.77
  6. Step 6: Final answer
    x = 5,359.11

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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.