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Finding the Fourth Proportional to 6,291.58, 9,429.17 and 2,590.09

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Solution

The fourth proportional to 6,291.58, 9,429.17 and 2,590.09 is: 3,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.58 : 9,429.17 = 2,590.09 : x
  2. Step 2: Convert to fraction form
    6,291.58/9,429.17 = 2,590.09/x
  3. Step 3: Cross multiply
    6,291.58x = 9,429.17 × 2,590.09
  4. Step 4: Simplify right side
    6,291.58x = 24,422,351.78
  5. Step 5: Solve for x
    x = 24,422,351.78/6,291.58
  6. Step 6: Final answer
    x = 3,881.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.