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Finding the Fourth Proportional to 8,594.35, 12,892.86 and 3,664

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Solution

The fourth proportional to 8,594.35, 12,892.86 and 3,664 is: 5,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.35 : 12,892.86 = 3,664 : x
  2. Step 2: Convert to fraction form
    8,594.35/12,892.86 = 3,664/x
  3. Step 3: Cross multiply
    8,594.35x = 12,892.86 × 3,664
  4. Step 4: Simplify right side
    8,594.35x = 47,239,439.04
  5. Step 5: Solve for x
    x = 47,239,439.04/8,594.35
  6. Step 6: Final answer
    x = 5,496.57

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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.