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Finding the Fourth Proportional to 3,653.44, 5,479 and 1,187.68

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Solution

The fourth proportional to 3,653.44, 5,479 and 1,187.68 is: 1,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.44 : 5,479 = 1,187.68 : x
  2. Step 2: Convert to fraction form
    3,653.44/5,479 = 1,187.68/x
  3. Step 3: Cross multiply
    3,653.44x = 5,479 × 1,187.68
  4. Step 4: Simplify right side
    3,653.44x = 6,507,298.72
  5. Step 5: Solve for x
    x = 6,507,298.72/3,653.44
  6. Step 6: Final answer
    x = 1,781.14

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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.