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Finding the Fourth Proportional to 5,737.84, 7,918.30 and 3,185.52

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Solution

The fourth proportional to 5,737.84, 7,918.30 and 3,185.52 is: 4,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.84 : 7,918.30 = 3,185.52 : x
  2. Step 2: Convert to fraction form
    5,737.84/7,918.30 = 3,185.52/x
  3. Step 3: Cross multiply
    5,737.84x = 7,918.30 × 3,185.52
  4. Step 4: Simplify right side
    5,737.84x = 25,223,903.02
  5. Step 5: Solve for x
    x = 25,223,903.02/5,737.84
  6. Step 6: Final answer
    x = 4,396.06

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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.