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Finding the Fourth Proportional to 5,368.74, 8,057.86 and 2,871.98

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Solution

The fourth proportional to 5,368.74, 8,057.86 and 2,871.98 is: 4,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.74 : 8,057.86 = 2,871.98 : x
  2. Step 2: Convert to fraction form
    5,368.74/8,057.86 = 2,871.98/x
  3. Step 3: Cross multiply
    5,368.74x = 8,057.86 × 2,871.98
  4. Step 4: Simplify right side
    5,368.74x = 23,141,963.65
  5. Step 5: Solve for x
    x = 23,141,963.65/5,368.74
  6. Step 6: Final answer
    x = 4,310.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.