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Finding the Fourth Proportional to 5,977.56, 8,252.74 and 3,854.12

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Solution

The fourth proportional to 5,977.56, 8,252.74 and 3,854.12 is: 5,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.56 : 8,252.74 = 3,854.12 : x
  2. Step 2: Convert to fraction form
    5,977.56/8,252.74 = 3,854.12/x
  3. Step 3: Cross multiply
    5,977.56x = 8,252.74 × 3,854.12
  4. Step 4: Simplify right side
    5,977.56x = 31,807,050.29
  5. Step 5: Solve for x
    x = 31,807,050.29/5,977.56
  6. Step 6: Final answer
    x = 5,321.08

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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.