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Finding the Fourth Proportional to 3,221.93, 4,835.61 and 1,275.50

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Solution

The fourth proportional to 3,221.93, 4,835.61 and 1,275.50 is: 1,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.93 : 4,835.61 = 1,275.50 : x
  2. Step 2: Convert to fraction form
    3,221.93/4,835.61 = 1,275.50/x
  3. Step 3: Cross multiply
    3,221.93x = 4,835.61 × 1,275.50
  4. Step 4: Simplify right side
    3,221.93x = 6,167,820.56
  5. Step 5: Solve for x
    x = 6,167,820.56/3,221.93
  6. Step 6: Final answer
    x = 1,914.32

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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.