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Finding the Fourth Proportional to 4,894.76, 7,344.03 and 2,295.88

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Solution

The fourth proportional to 4,894.76, 7,344.03 and 2,295.88 is: 3,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.76 : 7,344.03 = 2,295.88 : x
  2. Step 2: Convert to fraction form
    4,894.76/7,344.03 = 2,295.88/x
  3. Step 3: Cross multiply
    4,894.76x = 7,344.03 × 2,295.88
  4. Step 4: Simplify right side
    4,894.76x = 16,861,011.60
  5. Step 5: Solve for x
    x = 16,861,011.60/4,894.76
  6. Step 6: Final answer
    x = 3,444.71

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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.