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Finding the Fourth Proportional to 4,208.93, 6,309.63 and 1,742.18

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Solution

The fourth proportional to 4,208.93, 6,309.63 and 1,742.18 is: 2,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.93 : 6,309.63 = 1,742.18 : x
  2. Step 2: Convert to fraction form
    4,208.93/6,309.63 = 1,742.18/x
  3. Step 3: Cross multiply
    4,208.93x = 6,309.63 × 1,742.18
  4. Step 4: Simplify right side
    4,208.93x = 10,992,479.65
  5. Step 5: Solve for x
    x = 10,992,479.65/4,208.93
  6. Step 6: Final answer
    x = 2,611.70

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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.