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Finding the Fourth Proportional to 4,158.06, 5,737.88 and 2,269.27

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Solution

The fourth proportional to 4,158.06, 5,737.88 and 2,269.27 is: 3,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.06 : 5,737.88 = 2,269.27 : x
  2. Step 2: Convert to fraction form
    4,158.06/5,737.88 = 2,269.27/x
  3. Step 3: Cross multiply
    4,158.06x = 5,737.88 × 2,269.27
  4. Step 4: Simplify right side
    4,158.06x = 13,020,773.14
  5. Step 5: Solve for x
    x = 13,020,773.14/4,158.06
  6. Step 6: Final answer
    x = 3,131.45

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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.