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Finding the Fourth Proportional to 4,689, 6,470.26 and 2,592.84

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Solution

The fourth proportional to 4,689, 6,470.26 and 2,592.84 is: 3,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 6,470.26 = 2,592.84 : x
  2. Step 2: Convert to fraction form
    4,689/6,470.26 = 2,592.84/x
  3. Step 3: Cross multiply
    4,689x = 6,470.26 × 2,592.84
  4. Step 4: Simplify right side
    4,689x = 16,776,348.94
  5. Step 5: Solve for x
    x = 16,776,348.94/4,689
  6. Step 6: Final answer
    x = 3,577.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.