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Finding the Fourth Proportional to 3,862.69, 5,330.51 and 2,291.09

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Solution

The fourth proportional to 3,862.69, 5,330.51 and 2,291.09 is: 3,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,330.51 = 2,291.09 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,330.51 = 2,291.09/x
  3. Step 3: Cross multiply
    3,862.69x = 5,330.51 × 2,291.09
  4. Step 4: Simplify right side
    3,862.69x = 12,212,648.64
  5. Step 5: Solve for x
    x = 12,212,648.64/3,862.69
  6. Step 6: Final answer
    x = 3,161.70

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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.