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Finding the Fourth Proportional to 5,194.34, 7,786.64 and 2,880.98

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Solution

The fourth proportional to 5,194.34, 7,786.64 and 2,880.98 is: 4,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.34 : 7,786.64 = 2,880.98 : x
  2. Step 2: Convert to fraction form
    5,194.34/7,786.64 = 2,880.98/x
  3. Step 3: Cross multiply
    5,194.34x = 7,786.64 × 2,880.98
  4. Step 4: Simplify right side
    5,194.34x = 22,433,154.11
  5. Step 5: Solve for x
    x = 22,433,154.11/5,194.34
  6. Step 6: Final answer
    x = 4,318.77

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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.