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Finding the Fourth Proportional to 5,182.32, 7,768.80 and 1,893.10

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Solution

The fourth proportional to 5,182.32, 7,768.80 and 1,893.10 is: 2,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.32 : 7,768.80 = 1,893.10 : x
  2. Step 2: Convert to fraction form
    5,182.32/7,768.80 = 1,893.10/x
  3. Step 3: Cross multiply
    5,182.32x = 7,768.80 × 1,893.10
  4. Step 4: Simplify right side
    5,182.32x = 14,707,115.28
  5. Step 5: Solve for x
    x = 14,707,115.28/5,182.32
  6. Step 6: Final answer
    x = 2,837.94

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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.