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Finding the Fourth Proportional to 3,462.53, 5,193.65 and 1,613.01

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Solution

The fourth proportional to 3,462.53, 5,193.65 and 1,613.01 is: 2,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.53 : 5,193.65 = 1,613.01 : x
  2. Step 2: Convert to fraction form
    3,462.53/5,193.65 = 1,613.01/x
  3. Step 3: Cross multiply
    3,462.53x = 5,193.65 × 1,613.01
  4. Step 4: Simplify right side
    3,462.53x = 8,377,409.39
  5. Step 5: Solve for x
    x = 8,377,409.39/3,462.53
  6. Step 6: Final answer
    x = 2,419.45

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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.