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Finding the Fourth Proportional to 5,986.78, 8,981.50 and 1,827.16

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Solution

The fourth proportional to 5,986.78, 8,981.50 and 1,827.16 is: 2,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.78 : 8,981.50 = 1,827.16 : x
  2. Step 2: Convert to fraction form
    5,986.78/8,981.50 = 1,827.16/x
  3. Step 3: Cross multiply
    5,986.78x = 8,981.50 × 1,827.16
  4. Step 4: Simplify right side
    5,986.78x = 16,410,637.54
  5. Step 5: Solve for x
    x = 16,410,637.54/5,986.78
  6. Step 6: Final answer
    x = 2,741.15

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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.