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Finding the Fourth Proportional to 3,951.59, 5,928.46 and 1,610.15

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Solution

The fourth proportional to 3,951.59, 5,928.46 and 1,610.15 is: 2,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.59 : 5,928.46 = 1,610.15 : x
  2. Step 2: Convert to fraction form
    3,951.59/5,928.46 = 1,610.15/x
  3. Step 3: Cross multiply
    3,951.59x = 5,928.46 × 1,610.15
  4. Step 4: Simplify right side
    3,951.59x = 9,545,676.20
  5. Step 5: Solve for x
    x = 9,545,676.20/3,951.59
  6. Step 6: Final answer
    x = 2,415.66

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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.