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Finding the Fourth Proportional to 5,214.64, 7,195.94 and 2,856.34

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Solution

The fourth proportional to 5,214.64, 7,195.94 and 2,856.34 is: 3,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.64 : 7,195.94 = 2,856.34 : x
  2. Step 2: Convert to fraction form
    5,214.64/7,195.94 = 2,856.34/x
  3. Step 3: Cross multiply
    5,214.64x = 7,195.94 × 2,856.34
  4. Step 4: Simplify right side
    5,214.64x = 20,554,051.26
  5. Step 5: Solve for x
    x = 20,554,051.26/5,214.64
  6. Step 6: Final answer
    x = 3,941.61

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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.