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Finding the Fourth Proportional to 3,616.32, 5,420.04 and 2,057.63

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Solution

The fourth proportional to 3,616.32, 5,420.04 and 2,057.63 is: 3,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.32 : 5,420.04 = 2,057.63 : x
  2. Step 2: Convert to fraction form
    3,616.32/5,420.04 = 2,057.63/x
  3. Step 3: Cross multiply
    3,616.32x = 5,420.04 × 2,057.63
  4. Step 4: Simplify right side
    3,616.32x = 11,152,409.81
  5. Step 5: Solve for x
    x = 11,152,409.81/3,616.32
  6. Step 6: Final answer
    x = 3,083.91

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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.