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Finding the Fourth Proportional to 4,657.50, 6,986.25 and 1,883.25

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Solution

The fourth proportional to 4,657.50, 6,986.25 and 1,883.25 is: 2,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 6,986.25 = 1,883.25 : x
  2. Step 2: Convert to fraction form
    4,657.50/6,986.25 = 1,883.25/x
  3. Step 3: Cross multiply
    4,657.50x = 6,986.25 × 1,883.25
  4. Step 4: Simplify right side
    4,657.50x = 13,156,855.31
  5. Step 5: Solve for x
    x = 13,156,855.31/4,657.50
  6. Step 6: Final answer
    x = 2,824.88

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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.