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Finding the Fourth Proportional to 5,309.78, 7,328.43 and 3,071.30

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Solution

The fourth proportional to 5,309.78, 7,328.43 and 3,071.30 is: 4,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.78 : 7,328.43 = 3,071.30 : x
  2. Step 2: Convert to fraction form
    5,309.78/7,328.43 = 3,071.30/x
  3. Step 3: Cross multiply
    5,309.78x = 7,328.43 × 3,071.30
  4. Step 4: Simplify right side
    5,309.78x = 22,507,770.42
  5. Step 5: Solve for x
    x = 22,507,770.42/5,309.78
  6. Step 6: Final answer
    x = 4,238.93

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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.