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Finding the Fourth Proportional to 4,764.37, 7,147.77 and 1,843.51

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Solution

The fourth proportional to 4,764.37, 7,147.77 and 1,843.51 is: 2,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.37 : 7,147.77 = 1,843.51 : x
  2. Step 2: Convert to fraction form
    4,764.37/7,147.77 = 1,843.51/x
  3. Step 3: Cross multiply
    4,764.37x = 7,147.77 × 1,843.51
  4. Step 4: Simplify right side
    4,764.37x = 13,176,985.47
  5. Step 5: Solve for x
    x = 13,176,985.47/4,764.37
  6. Step 6: Final answer
    x = 2,765.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.