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Finding the Fourth Proportional to 3,161.72, 4,705.24 and 3,056.61

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Solution

The fourth proportional to 3,161.72, 4,705.24 and 3,056.61 is: 4,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.72 : 4,705.24 = 3,056.61 : x
  2. Step 2: Convert to fraction form
    3,161.72/4,705.24 = 3,056.61/x
  3. Step 3: Cross multiply
    3,161.72x = 4,705.24 × 3,056.61
  4. Step 4: Simplify right side
    3,161.72x = 14,382,083.64
  5. Step 5: Solve for x
    x = 14,382,083.64/3,161.72
  6. Step 6: Final answer
    x = 4,548.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.