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Finding the Fourth Proportional to 4,686.63, 6,467.49 and 2,590.80

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Solution

The fourth proportional to 4,686.63, 6,467.49 and 2,590.80 is: 3,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.63 : 6,467.49 = 2,590.80 : x
  2. Step 2: Convert to fraction form
    4,686.63/6,467.49 = 2,590.80/x
  3. Step 3: Cross multiply
    4,686.63x = 6,467.49 × 2,590.80
  4. Step 4: Simplify right side
    4,686.63x = 16,755,973.09
  5. Step 5: Solve for x
    x = 16,755,973.09/4,686.63
  6. Step 6: Final answer
    x = 3,575.27

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