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Finding the Fourth Proportional to 5,051.92, 6,971.65 and 2,814.22

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Solution

The fourth proportional to 5,051.92, 6,971.65 and 2,814.22 is: 3,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.92 : 6,971.65 = 2,814.22 : x
  2. Step 2: Convert to fraction form
    5,051.92/6,971.65 = 2,814.22/x
  3. Step 3: Cross multiply
    5,051.92x = 6,971.65 × 2,814.22
  4. Step 4: Simplify right side
    5,051.92x = 19,619,742.79
  5. Step 5: Solve for x
    x = 19,619,742.79/5,051.92
  6. Step 6: Final answer
    x = 3,883.62

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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.