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Finding the Fourth Proportional to 4,975.52, 7,461.70 and 1,687.86

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Solution

The fourth proportional to 4,975.52, 7,461.70 and 1,687.86 is: 2,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.52 : 7,461.70 = 1,687.86 : x
  2. Step 2: Convert to fraction form
    4,975.52/7,461.70 = 1,687.86/x
  3. Step 3: Cross multiply
    4,975.52x = 7,461.70 × 1,687.86
  4. Step 4: Simplify right side
    4,975.52x = 12,594,304.96
  5. Step 5: Solve for x
    x = 12,594,304.96/4,975.52
  6. Step 6: Final answer
    x = 2,531.25

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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.