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Finding the Fourth Proportional to 8,580.36, 12,861 and 3,654.12

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Solution

The fourth proportional to 8,580.36, 12,861 and 3,654.12 is: 5,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.36 : 12,861 = 3,654.12 : x
  2. Step 2: Convert to fraction form
    8,580.36/12,861 = 3,654.12/x
  3. Step 3: Cross multiply
    8,580.36x = 12,861 × 3,654.12
  4. Step 4: Simplify right side
    8,580.36x = 46,995,637.32
  5. Step 5: Solve for x
    x = 46,995,637.32/8,580.36
  6. Step 6: Final answer
    x = 5,477.12

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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.