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Finding the Fourth Proportional to 5,684.46, 8,526.96 and 1,789.17

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Solution

The fourth proportional to 5,684.46, 8,526.96 and 1,789.17 is: 2,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.46 : 8,526.96 = 1,789.17 : x
  2. Step 2: Convert to fraction form
    5,684.46/8,526.96 = 1,789.17/x
  3. Step 3: Cross multiply
    5,684.46x = 8,526.96 × 1,789.17
  4. Step 4: Simplify right side
    5,684.46x = 15,256,181.02
  5. Step 5: Solve for x
    x = 15,256,181.02/5,684.46
  6. Step 6: Final answer
    x = 2,683.84

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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.