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Finding the Fourth Proportional to 4,208.68, 6,314.10 and 1,742.68

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Solution

The fourth proportional to 4,208.68, 6,314.10 and 1,742.68 is: 2,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.68 : 6,314.10 = 1,742.68 : x
  2. Step 2: Convert to fraction form
    4,208.68/6,314.10 = 1,742.68/x
  3. Step 3: Cross multiply
    4,208.68x = 6,314.10 × 1,742.68
  4. Step 4: Simplify right side
    4,208.68x = 11,003,455.79
  5. Step 5: Solve for x
    x = 11,003,455.79/4,208.68
  6. Step 6: Final answer
    x = 2,614.47

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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.