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Finding the Fourth Proportional to 4,773.23, 6,572.39 and 4,142.64

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Solution

The fourth proportional to 4,773.23, 6,572.39 and 4,142.64 is: 5,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.23 : 6,572.39 = 4,142.64 : x
  2. Step 2: Convert to fraction form
    4,773.23/6,572.39 = 4,142.64/x
  3. Step 3: Cross multiply
    4,773.23x = 6,572.39 × 4,142.64
  4. Step 4: Simplify right side
    4,773.23x = 27,227,072.95
  5. Step 5: Solve for x
    x = 27,227,072.95/4,773.23
  6. Step 6: Final answer
    x = 5,704.12

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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.