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Finding the Fourth Proportional to 3,216.51, 4,813.46 and 2,782.86

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Solution

The fourth proportional to 3,216.51, 4,813.46 and 2,782.86 is: 4,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.51 : 4,813.46 = 2,782.86 : x
  2. Step 2: Convert to fraction form
    3,216.51/4,813.46 = 2,782.86/x
  3. Step 3: Cross multiply
    3,216.51x = 4,813.46 × 2,782.86
  4. Step 4: Simplify right side
    3,216.51x = 13,395,163.77
  5. Step 5: Solve for x
    x = 13,395,163.77/3,216.51
  6. Step 6: Final answer
    x = 4,164.50

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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.