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Finding the Fourth Proportional to 5,609.90, 8,415.77 and 1,911.76

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Solution

The fourth proportional to 5,609.90, 8,415.77 and 1,911.76 is: 2,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.90 : 8,415.77 = 1,911.76 : x
  2. Step 2: Convert to fraction form
    5,609.90/8,415.77 = 1,911.76/x
  3. Step 3: Cross multiply
    5,609.90x = 8,415.77 × 1,911.76
  4. Step 4: Simplify right side
    5,609.90x = 16,088,901.86
  5. Step 5: Solve for x
    x = 16,088,901.86/5,609.90
  6. Step 6: Final answer
    x = 2,867.95

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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.