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Finding the Fourth Proportional to 3,653.13, 5,476.95 and 1,186.47

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Solution

The fourth proportional to 3,653.13, 5,476.95 and 1,186.47 is: 1,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.13 : 5,476.95 = 1,186.47 : x
  2. Step 2: Convert to fraction form
    3,653.13/5,476.95 = 1,186.47/x
  3. Step 3: Cross multiply
    3,653.13x = 5,476.95 × 1,186.47
  4. Step 4: Simplify right side
    3,653.13x = 6,498,236.87
  5. Step 5: Solve for x
    x = 6,498,236.87/3,653.13
  6. Step 6: Final answer
    x = 1,778.81

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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.