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Finding the Fourth Proportional to 5,674.52, 8,511.80 and 1,975.88

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Solution

The fourth proportional to 5,674.52, 8,511.80 and 1,975.88 is: 2,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.52 : 8,511.80 = 1,975.88 : x
  2. Step 2: Convert to fraction form
    5,674.52/8,511.80 = 1,975.88/x
  3. Step 3: Cross multiply
    5,674.52x = 8,511.80 × 1,975.88
  4. Step 4: Simplify right side
    5,674.52x = 16,818,242.95
  5. Step 5: Solve for x
    x = 16,818,242.95/5,674.52
  6. Step 6: Final answer
    x = 2,963.82

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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.