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Finding the Fourth Proportional to 4,686.39, 6,467.04 and 2,590.38

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Solution

The fourth proportional to 4,686.39, 6,467.04 and 2,590.38 is: 3,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.39 : 6,467.04 = 2,590.38 : x
  2. Step 2: Convert to fraction form
    4,686.39/6,467.04 = 2,590.38/x
  3. Step 3: Cross multiply
    4,686.39x = 6,467.04 × 2,590.38
  4. Step 4: Simplify right side
    4,686.39x = 16,752,091.08
  5. Step 5: Solve for x
    x = 16,752,091.08/4,686.39
  6. Step 6: Final answer
    x = 3,574.63

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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.