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Finding the Fourth Proportional to 3,159.50, 4,735.56 and 1,861.88

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Solution

The fourth proportional to 3,159.50, 4,735.56 and 1,861.88 is: 2,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.50 : 4,735.56 = 1,861.88 : x
  2. Step 2: Convert to fraction form
    3,159.50/4,735.56 = 1,861.88/x
  3. Step 3: Cross multiply
    3,159.50x = 4,735.56 × 1,861.88
  4. Step 4: Simplify right side
    3,159.50x = 8,817,044.45
  5. Step 5: Solve for x
    x = 8,817,044.45/3,159.50
  6. Step 6: Final answer
    x = 2,790.65

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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.