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Finding the Fourth Proportional to 3,055.96, 4,214.70 and 2,656.96

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Solution

The fourth proportional to 3,055.96, 4,214.70 and 2,656.96 is: 3,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.96 : 4,214.70 = 2,656.96 : x
  2. Step 2: Convert to fraction form
    3,055.96/4,214.70 = 2,656.96/x
  3. Step 3: Cross multiply
    3,055.96x = 4,214.70 × 2,656.96
  4. Step 4: Simplify right side
    3,055.96x = 11,198,289.31
  5. Step 5: Solve for x
    x = 11,198,289.31/3,055.96
  6. Step 6: Final answer
    x = 3,664.41

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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.