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Finding the Fourth Proportional to 5,684.31, 8,526.50 and 1,986.53

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Solution

The fourth proportional to 5,684.31, 8,526.50 and 1,986.53 is: 2,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.31 : 8,526.50 = 1,986.53 : x
  2. Step 2: Convert to fraction form
    5,684.31/8,526.50 = 1,986.53/x
  3. Step 3: Cross multiply
    5,684.31x = 8,526.50 × 1,986.53
  4. Step 4: Simplify right side
    5,684.31x = 16,938,102.93
  5. Step 5: Solve for x
    x = 16,938,102.93/5,684.31
  6. Step 6: Final answer
    x = 2,979.80

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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.