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Finding the Fourth Proportional to 5,690.50, 8,539.61 and 1,992.76

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Solution

The fourth proportional to 5,690.50, 8,539.61 and 1,992.76 is: 2,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.50 : 8,539.61 = 1,992.76 : x
  2. Step 2: Convert to fraction form
    5,690.50/8,539.61 = 1,992.76/x
  3. Step 3: Cross multiply
    5,690.50x = 8,539.61 × 1,992.76
  4. Step 4: Simplify right side
    5,690.50x = 17,017,361.91
  5. Step 5: Solve for x
    x = 17,017,361.91/5,690.50
  6. Step 6: Final answer
    x = 2,990.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.