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Finding the Fourth Proportional to 3,299.61, 4,969.00 and 2,871.93

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Solution

The fourth proportional to 3,299.61, 4,969.00 and 2,871.93 is: 4,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.61 : 4,969.00 = 2,871.93 : x
  2. Step 2: Convert to fraction form
    3,299.61/4,969.00 = 2,871.93/x
  3. Step 3: Cross multiply
    3,299.61x = 4,969.00 × 2,871.93
  4. Step 4: Simplify right side
    3,299.61x = 14,270,612.99
  5. Step 5: Solve for x
    x = 14,270,612.99/3,299.61
  6. Step 6: Final answer
    x = 4,324.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.