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Finding the Fourth Proportional to 4,157.93, 5,737.78 and 2,294.93

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Solution

The fourth proportional to 4,157.93, 5,737.78 and 2,294.93 is: 3,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.93 : 5,737.78 = 2,294.93 : x
  2. Step 2: Convert to fraction form
    4,157.93/5,737.78 = 2,294.93/x
  3. Step 3: Cross multiply
    4,157.93x = 5,737.78 × 2,294.93
  4. Step 4: Simplify right side
    4,157.93x = 13,167,803.46
  5. Step 5: Solve for x
    x = 13,167,803.46/4,157.93
  6. Step 6: Final answer
    x = 3,166.91

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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.