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Finding the Fourth Proportional to 4,686.38, 6,467 and 2,590.46

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Solution

The fourth proportional to 4,686.38, 6,467 and 2,590.46 is: 3,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.38 : 6,467 = 2,590.46 : x
  2. Step 2: Convert to fraction form
    4,686.38/6,467 = 2,590.46/x
  3. Step 3: Cross multiply
    4,686.38x = 6,467 × 2,590.46
  4. Step 4: Simplify right side
    4,686.38x = 16,752,504.82
  5. Step 5: Solve for x
    x = 16,752,504.82/4,686.38
  6. Step 6: Final answer
    x = 3,574.72

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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.