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Finding the Fourth Proportional to 3,249.94, 4,870.76 and 1,864.03

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Solution

The fourth proportional to 3,249.94, 4,870.76 and 1,864.03 is: 2,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.94 : 4,870.76 = 1,864.03 : x
  2. Step 2: Convert to fraction form
    3,249.94/4,870.76 = 1,864.03/x
  3. Step 3: Cross multiply
    3,249.94x = 4,870.76 × 1,864.03
  4. Step 4: Simplify right side
    3,249.94x = 9,079,242.76
  5. Step 5: Solve for x
    x = 9,079,242.76/3,249.94
  6. Step 6: Final answer
    x = 2,793.66

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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.