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Finding the Fourth Proportional to 5,672.86, 8,510.82 and 1,975.30

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Solution

The fourth proportional to 5,672.86, 8,510.82 and 1,975.30 is: 2,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.86 : 8,510.82 = 1,975.30 : x
  2. Step 2: Convert to fraction form
    5,672.86/8,510.82 = 1,975.30/x
  3. Step 3: Cross multiply
    5,672.86x = 8,510.82 × 1,975.30
  4. Step 4: Simplify right side
    5,672.86x = 16,811,422.75
  5. Step 5: Solve for x
    x = 16,811,422.75/5,672.86
  6. Step 6: Final answer
    x = 2,963.48

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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.