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Finding the Fourth Proportional to 8,857.29, 13,289.22 and 3,923.40

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Solution

The fourth proportional to 8,857.29, 13,289.22 and 3,923.40 is: 5,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.29 : 13,289.22 = 3,923.40 : x
  2. Step 2: Convert to fraction form
    8,857.29/13,289.22 = 3,923.40/x
  3. Step 3: Cross multiply
    8,857.29x = 13,289.22 × 3,923.40
  4. Step 4: Simplify right side
    8,857.29x = 52,138,925.75
  5. Step 5: Solve for x
    x = 52,138,925.75/8,857.29
  6. Step 6: Final answer
    x = 5,886.56

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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.