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Finding the Fourth Proportional to 7,289.68, 10,934.68 and 2,909.20

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Solution

The fourth proportional to 7,289.68, 10,934.68 and 2,909.20 is: 4,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.68 : 10,934.68 = 2,909.20 : x
  2. Step 2: Convert to fraction form
    7,289.68/10,934.68 = 2,909.20/x
  3. Step 3: Cross multiply
    7,289.68x = 10,934.68 × 2,909.20
  4. Step 4: Simplify right side
    7,289.68x = 31,811,171.06
  5. Step 5: Solve for x
    x = 31,811,171.06/7,289.68
  6. Step 6: Final answer
    x = 4,363.86

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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.