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Finding the Fourth Proportional to 5,714.50, 8,571.76 and 1,610.50

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Solution

The fourth proportional to 5,714.50, 8,571.76 and 1,610.50 is: 2,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.50 : 8,571.76 = 1,610.50 : x
  2. Step 2: Convert to fraction form
    5,714.50/8,571.76 = 1,610.50/x
  3. Step 3: Cross multiply
    5,714.50x = 8,571.76 × 1,610.50
  4. Step 4: Simplify right side
    5,714.50x = 13,804,819.48
  5. Step 5: Solve for x
    x = 13,804,819.48/5,714.50
  6. Step 6: Final answer
    x = 2,415.75

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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.