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Finding the Fourth Proportional to 3,774.36, 5,202.14 and 3,248.28

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Solution

The fourth proportional to 3,774.36, 5,202.14 and 3,248.28 is: 4,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.36 : 5,202.14 = 3,248.28 : x
  2. Step 2: Convert to fraction form
    3,774.36/5,202.14 = 3,248.28/x
  3. Step 3: Cross multiply
    3,774.36x = 5,202.14 × 3,248.28
  4. Step 4: Simplify right side
    3,774.36x = 16,898,007.32
  5. Step 5: Solve for x
    x = 16,898,007.32/3,774.36
  6. Step 6: Final answer
    x = 4,477.05

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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.