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Finding the Fourth Proportional to 5,677.86, 8,516.76 and 1,518.30

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Solution

The fourth proportional to 5,677.86, 8,516.76 and 1,518.30 is: 2,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.86 : 8,516.76 = 1,518.30 : x
  2. Step 2: Convert to fraction form
    5,677.86/8,516.76 = 1,518.30/x
  3. Step 3: Cross multiply
    5,677.86x = 8,516.76 × 1,518.30
  4. Step 4: Simplify right side
    5,677.86x = 12,930,996.71
  5. Step 5: Solve for x
    x = 12,930,996.71/5,677.86
  6. Step 6: Final answer
    x = 2,277.44

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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.