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Finding the Fourth Proportional to 4,157.53, 5,737.40 and 2,294.53

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Solution

The fourth proportional to 4,157.53, 5,737.40 and 2,294.53 is: 3,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.53 : 5,737.40 = 2,294.53 : x
  2. Step 2: Convert to fraction form
    4,157.53/5,737.40 = 2,294.53/x
  3. Step 3: Cross multiply
    4,157.53x = 5,737.40 × 2,294.53
  4. Step 4: Simplify right side
    4,157.53x = 13,164,624.95
  5. Step 5: Solve for x
    x = 13,164,624.95/4,157.53
  6. Step 6: Final answer
    x = 3,166.45

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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.