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Finding the Fourth Proportional to 5,682.88, 8,525.40 and 1,986.16

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Solution

The fourth proportional to 5,682.88, 8,525.40 and 1,986.16 is: 2,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.88 : 8,525.40 = 1,986.16 : x
  2. Step 2: Convert to fraction form
    5,682.88/8,525.40 = 1,986.16/x
  3. Step 3: Cross multiply
    5,682.88x = 8,525.40 × 1,986.16
  4. Step 4: Simplify right side
    5,682.88x = 16,932,808.46
  5. Step 5: Solve for x
    x = 16,932,808.46/5,682.88
  6. Step 6: Final answer
    x = 2,979.62

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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.