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Finding the Fourth Proportional to 3,382.13, 5,071.16 and 1,405.37

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Solution

The fourth proportional to 3,382.13, 5,071.16 and 1,405.37 is: 2,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.13 : 5,071.16 = 1,405.37 : x
  2. Step 2: Convert to fraction form
    3,382.13/5,071.16 = 1,405.37/x
  3. Step 3: Cross multiply
    3,382.13x = 5,071.16 × 1,405.37
  4. Step 4: Simplify right side
    3,382.13x = 7,126,872.32
  5. Step 5: Solve for x
    x = 7,126,872.32/3,382.13
  6. Step 6: Final answer
    x = 2,107.22

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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.