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Finding the Fourth Proportional to 3,977.32, 5,490.66 and 3,049.96

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Solution

The fourth proportional to 3,977.32, 5,490.66 and 3,049.96 is: 4,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.32 : 5,490.66 = 3,049.96 : x
  2. Step 2: Convert to fraction form
    3,977.32/5,490.66 = 3,049.96/x
  3. Step 3: Cross multiply
    3,977.32x = 5,490.66 × 3,049.96
  4. Step 4: Simplify right side
    3,977.32x = 16,746,293.37
  5. Step 5: Solve for x
    x = 16,746,293.37/3,977.32
  6. Step 6: Final answer
    x = 4,210.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.