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Finding the Fourth Proportional to 5,214.08, 7,195.20 and 2,856.08

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Solution

The fourth proportional to 5,214.08, 7,195.20 and 2,856.08 is: 3,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.08 : 7,195.20 = 2,856.08 : x
  2. Step 2: Convert to fraction form
    5,214.08/7,195.20 = 2,856.08/x
  3. Step 3: Cross multiply
    5,214.08x = 7,195.20 × 2,856.08
  4. Step 4: Simplify right side
    5,214.08x = 20,550,066.82
  5. Step 5: Solve for x
    x = 20,550,066.82/5,214.08
  6. Step 6: Final answer
    x = 3,941.26

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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.