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Finding the Fourth Proportional to 3,886.29, 5,801.25 and 3,597.23

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Solution

The fourth proportional to 3,886.29, 5,801.25 and 3,597.23 is: 5,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.29 : 5,801.25 = 3,597.23 : x
  2. Step 2: Convert to fraction form
    3,886.29/5,801.25 = 3,597.23/x
  3. Step 3: Cross multiply
    3,886.29x = 5,801.25 × 3,597.23
  4. Step 4: Simplify right side
    3,886.29x = 20,868,401.53
  5. Step 5: Solve for x
    x = 20,868,401.53/3,886.29
  6. Step 6: Final answer
    x = 5,369.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.