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Finding the Fourth Proportional to 5,694, 8,537.93 and 1,944.66

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Solution

The fourth proportional to 5,694, 8,537.93 and 1,944.66 is: 2,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 8,537.93 = 1,944.66 : x
  2. Step 2: Convert to fraction form
    5,694/8,537.93 = 1,944.66/x
  3. Step 3: Cross multiply
    5,694x = 8,537.93 × 1,944.66
  4. Step 4: Simplify right side
    5,694x = 16,603,361.23
  5. Step 5: Solve for x
    x = 16,603,361.23/5,694
  6. Step 6: Final answer
    x = 2,915.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.