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Finding the Fourth Proportional to 5,194.76, 7,794.60 and 1,909.04

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Solution

The fourth proportional to 5,194.76, 7,794.60 and 1,909.04 is: 2,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.76 : 7,794.60 = 1,909.04 : x
  2. Step 2: Convert to fraction form
    5,194.76/7,794.60 = 1,909.04/x
  3. Step 3: Cross multiply
    5,194.76x = 7,794.60 × 1,909.04
  4. Step 4: Simplify right side
    5,194.76x = 14,880,203.18
  5. Step 5: Solve for x
    x = 14,880,203.18/5,194.76
  6. Step 6: Final answer
    x = 2,864.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.