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Finding the Fourth Proportional to 5,214.84, 7,196.76 and 2,857.20

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Solution

The fourth proportional to 5,214.84, 7,196.76 and 2,857.20 is: 3,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.84 : 7,196.76 = 2,857.20 : x
  2. Step 2: Convert to fraction form
    5,214.84/7,196.76 = 2,857.20/x
  3. Step 3: Cross multiply
    5,214.84x = 7,196.76 × 2,857.20
  4. Step 4: Simplify right side
    5,214.84x = 20,562,582.67
  5. Step 5: Solve for x
    x = 20,562,582.67/5,214.84
  6. Step 6: Final answer
    x = 3,943.09

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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.