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Finding the Fourth Proportional to 5,778.15, 7,966.62 and 4,822.43

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Solution

The fourth proportional to 5,778.15, 7,966.62 and 4,822.43 is: 6,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.15 : 7,966.62 = 4,822.43 : x
  2. Step 2: Convert to fraction form
    5,778.15/7,966.62 = 4,822.43/x
  3. Step 3: Cross multiply
    5,778.15x = 7,966.62 × 4,822.43
  4. Step 4: Simplify right side
    5,778.15x = 38,418,427.45
  5. Step 5: Solve for x
    x = 38,418,427.45/5,778.15
  6. Step 6: Final answer
    x = 6,648.91

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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.