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Finding the Fourth Proportional to 5,822.14, 8,732.96 and 1,439.48

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Solution

The fourth proportional to 5,822.14, 8,732.96 and 1,439.48 is: 2,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.14 : 8,732.96 = 1,439.48 : x
  2. Step 2: Convert to fraction form
    5,822.14/8,732.96 = 1,439.48/x
  3. Step 3: Cross multiply
    5,822.14x = 8,732.96 × 1,439.48
  4. Step 4: Simplify right side
    5,822.14x = 12,570,914.06
  5. Step 5: Solve for x
    x = 12,570,914.06/5,822.14
  6. Step 6: Final answer
    x = 2,159.16

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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.