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Finding the Fourth Proportional to 5,215.16, 7,822.70 and 1,319.56

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Solution

The fourth proportional to 5,215.16, 7,822.70 and 1,319.56 is: 1,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.16 : 7,822.70 = 1,319.56 : x
  2. Step 2: Convert to fraction form
    5,215.16/7,822.70 = 1,319.56/x
  3. Step 3: Cross multiply
    5,215.16x = 7,822.70 × 1,319.56
  4. Step 4: Simplify right side
    5,215.16x = 10,322,522.01
  5. Step 5: Solve for x
    x = 10,322,522.01/5,215.16
  6. Step 6: Final answer
    x = 1,979.33

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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.