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Finding the Fourth Proportional to 3,653.54, 5,479.14 and 1,187.84

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Solution

The fourth proportional to 3,653.54, 5,479.14 and 1,187.84 is: 1,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.54 : 5,479.14 = 1,187.84 : x
  2. Step 2: Convert to fraction form
    3,653.54/5,479.14 = 1,187.84/x
  3. Step 3: Cross multiply
    3,653.54x = 5,479.14 × 1,187.84
  4. Step 4: Simplify right side
    3,653.54x = 6,508,341.66
  5. Step 5: Solve for x
    x = 6,508,341.66/3,653.54
  6. Step 6: Final answer
    x = 1,781.38

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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.