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Finding the Fourth Proportional to 8,946.52, 13,419.78 and 2,791

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Solution

The fourth proportional to 8,946.52, 13,419.78 and 2,791 is: 4,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.52 : 13,419.78 = 2,791 : x
  2. Step 2: Convert to fraction form
    8,946.52/13,419.78 = 2,791/x
  3. Step 3: Cross multiply
    8,946.52x = 13,419.78 × 2,791
  4. Step 4: Simplify right side
    8,946.52x = 37,454,605.98
  5. Step 5: Solve for x
    x = 37,454,605.98/8,946.52
  6. Step 6: Final answer
    x = 4,186.50

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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.