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Finding the Fourth Proportional to 4,208.74, 6,313.14 and 1,742.23

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Solution

The fourth proportional to 4,208.74, 6,313.14 and 1,742.23 is: 2,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.74 : 6,313.14 = 1,742.23 : x
  2. Step 2: Convert to fraction form
    4,208.74/6,313.14 = 1,742.23/x
  3. Step 3: Cross multiply
    4,208.74x = 6,313.14 × 1,742.23
  4. Step 4: Simplify right side
    4,208.74x = 10,998,941.90
  5. Step 5: Solve for x
    x = 10,998,941.90/4,208.74
  6. Step 6: Final answer
    x = 2,613.36

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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.