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Finding the Fourth Proportional to 5,914.96, 8,871.48 and 1,810

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Solution

The fourth proportional to 5,914.96, 8,871.48 and 1,810 is: 2,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.96 : 8,871.48 = 1,810 : x
  2. Step 2: Convert to fraction form
    5,914.96/8,871.48 = 1,810/x
  3. Step 3: Cross multiply
    5,914.96x = 8,871.48 × 1,810
  4. Step 4: Simplify right side
    5,914.96x = 16,057,378.80
  5. Step 5: Solve for x
    x = 16,057,378.80/5,914.96
  6. Step 6: Final answer
    x = 2,714.71

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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.