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Finding the Fourth Proportional to 5,168.58, 7,754.94 and 1,881.90

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Solution

The fourth proportional to 5,168.58, 7,754.94 and 1,881.90 is: 2,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.58 : 7,754.94 = 1,881.90 : x
  2. Step 2: Convert to fraction form
    5,168.58/7,754.94 = 1,881.90/x
  3. Step 3: Cross multiply
    5,168.58x = 7,754.94 × 1,881.90
  4. Step 4: Simplify right side
    5,168.58x = 14,594,021.59
  5. Step 5: Solve for x
    x = 14,594,021.59/5,168.58
  6. Step 6: Final answer
    x = 2,823.60

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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.