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Finding the Fourth Proportional to 5,977.84, 8,245.92 and 3,883.36

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Solution

The fourth proportional to 5,977.84, 8,245.92 and 3,883.36 is: 5,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.84 : 8,245.92 = 3,883.36 : x
  2. Step 2: Convert to fraction form
    5,977.84/8,245.92 = 3,883.36/x
  3. Step 3: Cross multiply
    5,977.84x = 8,245.92 × 3,883.36
  4. Step 4: Simplify right side
    5,977.84x = 32,021,875.89
  5. Step 5: Solve for x
    x = 32,021,875.89/5,977.84
  6. Step 6: Final answer
    x = 5,356.76

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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.