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Finding the Fourth Proportional to 4,749.15, 7,123.11 and 1,462.17

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Solution

The fourth proportional to 4,749.15, 7,123.11 and 1,462.17 is: 2,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.15 : 7,123.11 = 1,462.17 : x
  2. Step 2: Convert to fraction form
    4,749.15/7,123.11 = 1,462.17/x
  3. Step 3: Cross multiply
    4,749.15x = 7,123.11 × 1,462.17
  4. Step 4: Simplify right side
    4,749.15x = 10,415,197.75
  5. Step 5: Solve for x
    x = 10,415,197.75/4,749.15
  6. Step 6: Final answer
    x = 2,193.07

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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.