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Finding the Fourth Proportional to 5,215.02, 7,822.54 and 1,319.42

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Solution

The fourth proportional to 5,215.02, 7,822.54 and 1,319.42 is: 1,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.02 : 7,822.54 = 1,319.42 : x
  2. Step 2: Convert to fraction form
    5,215.02/7,822.54 = 1,319.42/x
  3. Step 3: Cross multiply
    5,215.02x = 7,822.54 × 1,319.42
  4. Step 4: Simplify right side
    5,215.02x = 10,321,236.93
  5. Step 5: Solve for x
    x = 10,321,236.93/5,215.02
  6. Step 6: Final answer
    x = 1,979.14

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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.