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Finding the Fourth Proportional to 3,382.52, 5,071.32 and 1,190.66

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Solution

The fourth proportional to 3,382.52, 5,071.32 and 1,190.66 is: 1,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.52 : 5,071.32 = 1,190.66 : x
  2. Step 2: Convert to fraction form
    3,382.52/5,071.32 = 1,190.66/x
  3. Step 3: Cross multiply
    3,382.52x = 5,071.32 × 1,190.66
  4. Step 4: Simplify right side
    3,382.52x = 6,038,192.51
  5. Step 5: Solve for x
    x = 6,038,192.51/3,382.52
  6. Step 6: Final answer
    x = 1,785.12

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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.