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Finding the Fourth Proportional to 5,270.83, 7,269.64 and 3,737.05

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Solution

The fourth proportional to 5,270.83, 7,269.64 and 3,737.05 is: 5,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.83 : 7,269.64 = 3,737.05 : x
  2. Step 2: Convert to fraction form
    5,270.83/7,269.64 = 3,737.05/x
  3. Step 3: Cross multiply
    5,270.83x = 7,269.64 × 3,737.05
  4. Step 4: Simplify right side
    5,270.83x = 27,167,008.16
  5. Step 5: Solve for x
    x = 27,167,008.16/5,270.83
  6. Step 6: Final answer
    x = 5,154.22

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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.