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Finding the Fourth Proportional to 5,986.19, 8,977.12 and 2,523.71

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Solution

The fourth proportional to 5,986.19, 8,977.12 and 2,523.71 is: 3,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.19 : 8,977.12 = 2,523.71 : x
  2. Step 2: Convert to fraction form
    5,986.19/8,977.12 = 2,523.71/x
  3. Step 3: Cross multiply
    5,986.19x = 8,977.12 × 2,523.71
  4. Step 4: Simplify right side
    5,986.19x = 22,655,596.32
  5. Step 5: Solve for x
    x = 22,655,596.32/5,986.19
  6. Step 6: Final answer
    x = 3,784.65

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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.