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Finding the Fourth Proportional to 3,742.83, 5,613.03 and 1,768.19

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Solution

The fourth proportional to 3,742.83, 5,613.03 and 1,768.19 is: 2,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.83 : 5,613.03 = 1,768.19 : x
  2. Step 2: Convert to fraction form
    3,742.83/5,613.03 = 1,768.19/x
  3. Step 3: Cross multiply
    3,742.83x = 5,613.03 × 1,768.19
  4. Step 4: Simplify right side
    3,742.83x = 9,924,875.45
  5. Step 5: Solve for x
    x = 9,924,875.45/3,742.83
  6. Step 6: Final answer
    x = 2,651.70

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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.