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Finding the Fourth Proportional to 3,056.77, 4,584.22 and 1,301.75

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Solution

The fourth proportional to 3,056.77, 4,584.22 and 1,301.75 is: 1,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.77 : 4,584.22 = 1,301.75 : x
  2. Step 2: Convert to fraction form
    3,056.77/4,584.22 = 1,301.75/x
  3. Step 3: Cross multiply
    3,056.77x = 4,584.22 × 1,301.75
  4. Step 4: Simplify right side
    3,056.77x = 5,967,508.39
  5. Step 5: Solve for x
    x = 5,967,508.39/3,056.77
  6. Step 6: Final answer
    x = 1,952.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.