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Finding the Fourth Proportional to 5,275.40, 7,909.19 and 3,194.91

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Solution

The fourth proportional to 5,275.40, 7,909.19 and 3,194.91 is: 4,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.40 : 7,909.19 = 3,194.91 : x
  2. Step 2: Convert to fraction form
    5,275.40/7,909.19 = 3,194.91/x
  3. Step 3: Cross multiply
    5,275.40x = 7,909.19 × 3,194.91
  4. Step 4: Simplify right side
    5,275.40x = 25,269,134.25
  5. Step 5: Solve for x
    x = 25,269,134.25/5,275.40
  6. Step 6: Final answer
    x = 4,790.00

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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.