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Finding the Fourth Proportional to 3,462.07, 4,777.64 and 2,135.77

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Solution

The fourth proportional to 3,462.07, 4,777.64 and 2,135.77 is: 2,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.07 : 4,777.64 = 2,135.77 : x
  2. Step 2: Convert to fraction form
    3,462.07/4,777.64 = 2,135.77/x
  3. Step 3: Cross multiply
    3,462.07x = 4,777.64 × 2,135.77
  4. Step 4: Simplify right side
    3,462.07x = 10,203,917.56
  5. Step 5: Solve for x
    x = 10,203,917.56/3,462.07
  6. Step 6: Final answer
    x = 2,947.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.