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Finding the Fourth Proportional to 3,665.12, 5,498.56 and 1,356.64

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Solution

The fourth proportional to 3,665.12, 5,498.56 and 1,356.64 is: 2,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.12 : 5,498.56 = 1,356.64 : x
  2. Step 2: Convert to fraction form
    3,665.12/5,498.56 = 1,356.64/x
  3. Step 3: Cross multiply
    3,665.12x = 5,498.56 × 1,356.64
  4. Step 4: Simplify right side
    3,665.12x = 7,459,566.44
  5. Step 5: Solve for x
    x = 7,459,566.44/3,665.12
  6. Step 6: Final answer
    x = 2,035.29

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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.