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Finding the Fourth Proportional to 5,368.02, 7,410.41 and 3,578.46

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Solution

The fourth proportional to 5,368.02, 7,410.41 and 3,578.46 is: 4,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.02 : 7,410.41 = 3,578.46 : x
  2. Step 2: Convert to fraction form
    5,368.02/7,410.41 = 3,578.46/x
  3. Step 3: Cross multiply
    5,368.02x = 7,410.41 × 3,578.46
  4. Step 4: Simplify right side
    5,368.02x = 26,517,837.88
  5. Step 5: Solve for x
    x = 26,517,837.88/5,368.02
  6. Step 6: Final answer
    x = 4,939.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.