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Finding the Fourth Proportional to 5,909.90, 8,154.19 and 3,811.50

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Solution

The fourth proportional to 5,909.90, 8,154.19 and 3,811.50 is: 5,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.90 : 8,154.19 = 3,811.50 : x
  2. Step 2: Convert to fraction form
    5,909.90/8,154.19 = 3,811.50/x
  3. Step 3: Cross multiply
    5,909.90x = 8,154.19 × 3,811.50
  4. Step 4: Simplify right side
    5,909.90x = 31,079,695.19
  5. Step 5: Solve for x
    x = 31,079,695.19/5,909.90
  6. Step 6: Final answer
    x = 5,258.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.