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Finding the Fourth Proportional to 5,677.96, 8,511.46 and 1,781.45

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Solution

The fourth proportional to 5,677.96, 8,511.46 and 1,781.45 is: 2,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.96 : 8,511.46 = 1,781.45 : x
  2. Step 2: Convert to fraction form
    5,677.96/8,511.46 = 1,781.45/x
  3. Step 3: Cross multiply
    5,677.96x = 8,511.46 × 1,781.45
  4. Step 4: Simplify right side
    5,677.96x = 15,162,740.42
  5. Step 5: Solve for x
    x = 15,162,740.42/5,677.96
  6. Step 6: Final answer
    x = 2,670.46

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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.