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Finding the Fourth Proportional to 3,809.25, 5,683.14 and 3,393.72

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Solution

The fourth proportional to 3,809.25, 5,683.14 and 3,393.72 is: 5,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.25 : 5,683.14 = 3,393.72 : x
  2. Step 2: Convert to fraction form
    3,809.25/5,683.14 = 3,393.72/x
  3. Step 3: Cross multiply
    3,809.25x = 5,683.14 × 3,393.72
  4. Step 4: Simplify right side
    3,809.25x = 19,286,985.88
  5. Step 5: Solve for x
    x = 19,286,985.88/3,809.25
  6. Step 6: Final answer
    x = 5,063.20

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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.