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Finding the Fourth Proportional to 3,389.52, 5,059.86 and 2,952

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Solution

The fourth proportional to 3,389.52, 5,059.86 and 2,952 is: 4,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.52 : 5,059.86 = 2,952 : x
  2. Step 2: Convert to fraction form
    3,389.52/5,059.86 = 2,952/x
  3. Step 3: Cross multiply
    3,389.52x = 5,059.86 × 2,952
  4. Step 4: Simplify right side
    3,389.52x = 14,936,706.72
  5. Step 5: Solve for x
    x = 14,936,706.72/3,389.52
  6. Step 6: Final answer
    x = 4,406.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.