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Finding the Fourth Proportional to 5,914.86, 8,871.74 and 1,754.70

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Solution

The fourth proportional to 5,914.86, 8,871.74 and 1,754.70 is: 2,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.86 : 8,871.74 = 1,754.70 : x
  2. Step 2: Convert to fraction form
    5,914.86/8,871.74 = 1,754.70/x
  3. Step 3: Cross multiply
    5,914.86x = 8,871.74 × 1,754.70
  4. Step 4: Simplify right side
    5,914.86x = 15,567,242.18
  5. Step 5: Solve for x
    x = 15,567,242.18/5,914.86
  6. Step 6: Final answer
    x = 2,631.89

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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.