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Finding the Fourth Proportional to 4,694.42, 6,478.19 and 2,569.89

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Solution

The fourth proportional to 4,694.42, 6,478.19 and 2,569.89 is: 3,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.42 : 6,478.19 = 2,569.89 : x
  2. Step 2: Convert to fraction form
    4,694.42/6,478.19 = 2,569.89/x
  3. Step 3: Cross multiply
    4,694.42x = 6,478.19 × 2,569.89
  4. Step 4: Simplify right side
    4,694.42x = 16,648,235.70
  5. Step 5: Solve for x
    x = 16,648,235.70/4,694.42
  6. Step 6: Final answer
    x = 3,546.39

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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.