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Finding the Fourth Proportional to 7,274.50, 10,909.20 and 2,890.78

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Solution

The fourth proportional to 7,274.50, 10,909.20 and 2,890.78 is: 4,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.50 : 10,909.20 = 2,890.78 : x
  2. Step 2: Convert to fraction form
    7,274.50/10,909.20 = 2,890.78/x
  3. Step 3: Cross multiply
    7,274.50x = 10,909.20 × 2,890.78
  4. Step 4: Simplify right side
    7,274.50x = 31,536,097.18
  5. Step 5: Solve for x
    x = 31,536,097.18/7,274.50
  6. Step 6: Final answer
    x = 4,335.16

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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.