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Finding the Fourth Proportional to 3,411.72, 4,706.00 and 2,232.87

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Solution

The fourth proportional to 3,411.72, 4,706.00 and 2,232.87 is: 3,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.72 : 4,706.00 = 2,232.87 : x
  2. Step 2: Convert to fraction form
    3,411.72/4,706.00 = 2,232.87/x
  3. Step 3: Cross multiply
    3,411.72x = 4,706.00 × 2,232.87
  4. Step 4: Simplify right side
    3,411.72x = 10,507,865.78
  5. Step 5: Solve for x
    x = 10,507,865.78/3,411.72
  6. Step 6: Final answer
    x = 3,079.93

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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.