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Finding the Fourth Proportional to 3,613.58, 5,419.81 and 1,148.08

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Solution

The fourth proportional to 3,613.58, 5,419.81 and 1,148.08 is: 1,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.58 : 5,419.81 = 1,148.08 : x
  2. Step 2: Convert to fraction form
    3,613.58/5,419.81 = 1,148.08/x
  3. Step 3: Cross multiply
    3,613.58x = 5,419.81 × 1,148.08
  4. Step 4: Simplify right side
    3,613.58x = 6,222,375.46
  5. Step 5: Solve for x
    x = 6,222,375.46/3,613.58
  6. Step 6: Final answer
    x = 1,721.94

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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.