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Finding the Fourth Proportional to 8,636.28, 12,952.50 and 3,090

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Solution

The fourth proportional to 8,636.28, 12,952.50 and 3,090 is: 4,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.28 : 12,952.50 = 3,090 : x
  2. Step 2: Convert to fraction form
    8,636.28/12,952.50 = 3,090/x
  3. Step 3: Cross multiply
    8,636.28x = 12,952.50 × 3,090
  4. Step 4: Simplify right side
    8,636.28x = 40,023,225
  5. Step 5: Solve for x
    x = 40,023,225/8,636.28
  6. Step 6: Final answer
    x = 4,634.31

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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.