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Finding the Fourth Proportional to 4,206.22, 6,303.57 and 1,739.50

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Solution

The fourth proportional to 4,206.22, 6,303.57 and 1,739.50 is: 2,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.22 : 6,303.57 = 1,739.50 : x
  2. Step 2: Convert to fraction form
    4,206.22/6,303.57 = 1,739.50/x
  3. Step 3: Cross multiply
    4,206.22x = 6,303.57 × 1,739.50
  4. Step 4: Simplify right side
    4,206.22x = 10,965,060.02
  5. Step 5: Solve for x
    x = 10,965,060.02/4,206.22
  6. Step 6: Final answer
    x = 2,606.87

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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.