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Finding the Fourth Proportional to 3,858.90, 5,325.84 and 2,265.48

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Solution

The fourth proportional to 3,858.90, 5,325.84 and 2,265.48 is: 3,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.90 : 5,325.84 = 2,265.48 : x
  2. Step 2: Convert to fraction form
    3,858.90/5,325.84 = 2,265.48/x
  3. Step 3: Cross multiply
    3,858.90x = 5,325.84 × 2,265.48
  4. Step 4: Simplify right side
    3,858.90x = 12,065,584.00
  5. Step 5: Solve for x
    x = 12,065,584.00/3,858.90
  6. Step 6: Final answer
    x = 3,126.69

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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.