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Finding the Fourth Proportional to 4,392.63, 6,589.05 and 1,926.96

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Solution

The fourth proportional to 4,392.63, 6,589.05 and 1,926.96 is: 2,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.63 : 6,589.05 = 1,926.96 : x
  2. Step 2: Convert to fraction form
    4,392.63/6,589.05 = 1,926.96/x
  3. Step 3: Cross multiply
    4,392.63x = 6,589.05 × 1,926.96
  4. Step 4: Simplify right side
    4,392.63x = 12,696,835.79
  5. Step 5: Solve for x
    x = 12,696,835.79/4,392.63
  6. Step 6: Final answer
    x = 2,890.49

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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.