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Finding the Fourth Proportional to 5,214.16, 7,821.20 and 1,318.56

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Solution

The fourth proportional to 5,214.16, 7,821.20 and 1,318.56 is: 1,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.16 : 7,821.20 = 1,318.56 : x
  2. Step 2: Convert to fraction form
    5,214.16/7,821.20 = 1,318.56/x
  3. Step 3: Cross multiply
    5,214.16x = 7,821.20 × 1,318.56
  4. Step 4: Simplify right side
    5,214.16x = 10,312,721.47
  5. Step 5: Solve for x
    x = 10,312,721.47/5,214.16
  6. Step 6: Final answer
    x = 1,977.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.