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Finding the Fourth Proportional to 5,162.04, 7,123.14 and 3,037.14

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Solution

The fourth proportional to 5,162.04, 7,123.14 and 3,037.14 is: 4,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.04 : 7,123.14 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    5,162.04/7,123.14 = 3,037.14/x
  3. Step 3: Cross multiply
    5,162.04x = 7,123.14 × 3,037.14
  4. Step 4: Simplify right side
    5,162.04x = 21,633,973.42
  5. Step 5: Solve for x
    x = 21,633,973.42/5,162.04
  6. Step 6: Final answer
    x = 4,190.97

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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.