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Finding the Fourth Proportional to 3,836.40, 5,302.98 and 3,530.22

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Solution

The fourth proportional to 3,836.40, 5,302.98 and 3,530.22 is: 4,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.40 : 5,302.98 = 3,530.22 : x
  2. Step 2: Convert to fraction form
    3,836.40/5,302.98 = 3,530.22/x
  3. Step 3: Cross multiply
    3,836.40x = 5,302.98 × 3,530.22
  4. Step 4: Simplify right side
    3,836.40x = 18,720,686.06
  5. Step 5: Solve for x
    x = 18,720,686.06/3,836.40
  6. Step 6: Final answer
    x = 4,879.75

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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.