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Finding the Fourth Proportional to 5,427.63, 7,491.50 and 3,071.14

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Solution

The fourth proportional to 5,427.63, 7,491.50 and 3,071.14 is: 4,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.63 : 7,491.50 = 3,071.14 : x
  2. Step 2: Convert to fraction form
    5,427.63/7,491.50 = 3,071.14/x
  3. Step 3: Cross multiply
    5,427.63x = 7,491.50 × 3,071.14
  4. Step 4: Simplify right side
    5,427.63x = 23,007,448.13
  5. Step 5: Solve for x
    x = 23,007,448.13/5,427.63
  6. Step 6: Final answer
    x = 4,238.95

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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.