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Finding the Fourth Proportional to 5,071.14, 7,606.58 and 3,840.89

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Solution

The fourth proportional to 5,071.14, 7,606.58 and 3,840.89 is: 5,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.14 : 7,606.58 = 3,840.89 : x
  2. Step 2: Convert to fraction form
    5,071.14/7,606.58 = 3,840.89/x
  3. Step 3: Cross multiply
    5,071.14x = 7,606.58 × 3,840.89
  4. Step 4: Simplify right side
    5,071.14x = 29,215,979.82
  5. Step 5: Solve for x
    x = 29,215,979.82/5,071.14
  6. Step 6: Final answer
    x = 5,761.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.