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Finding the Fourth Proportional to 5,606.90, 8,410.38 and 1,909.96

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Solution

The fourth proportional to 5,606.90, 8,410.38 and 1,909.96 is: 2,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.90 : 8,410.38 = 1,909.96 : x
  2. Step 2: Convert to fraction form
    5,606.90/8,410.38 = 1,909.96/x
  3. Step 3: Cross multiply
    5,606.90x = 8,410.38 × 1,909.96
  4. Step 4: Simplify right side
    5,606.90x = 16,063,489.38
  5. Step 5: Solve for x
    x = 16,063,489.38/5,606.90
  6. Step 6: Final answer
    x = 2,864.95

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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.