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Finding the Fourth Proportional to 4,833.14, 7,249.10 and 1,913.49

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Solution

The fourth proportional to 4,833.14, 7,249.10 and 1,913.49 is: 2,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.14 : 7,249.10 = 1,913.49 : x
  2. Step 2: Convert to fraction form
    4,833.14/7,249.10 = 1,913.49/x
  3. Step 3: Cross multiply
    4,833.14x = 7,249.10 × 1,913.49
  4. Step 4: Simplify right side
    4,833.14x = 13,871,070.79
  5. Step 5: Solve for x
    x = 13,871,070.79/4,833.14
  6. Step 6: Final answer
    x = 2,869.99

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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.