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Finding the Fourth Proportional to 3,807.36, 5,254.72 and 2,410.24

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Solution

The fourth proportional to 3,807.36, 5,254.72 and 2,410.24 is: 3,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,254.72 = 2,410.24 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,254.72 = 2,410.24/x
  3. Step 3: Cross multiply
    3,807.36x = 5,254.72 × 2,410.24
  4. Step 4: Simplify right side
    3,807.36x = 12,665,136.33
  5. Step 5: Solve for x
    x = 12,665,136.33/3,807.36
  6. Step 6: Final answer
    x = 3,326.49

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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.