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Finding the Fourth Proportional to 3,534.12, 5,297.54 and 1,682.48

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Solution

The fourth proportional to 3,534.12, 5,297.54 and 1,682.48 is: 2,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.12 : 5,297.54 = 1,682.48 : x
  2. Step 2: Convert to fraction form
    3,534.12/5,297.54 = 1,682.48/x
  3. Step 3: Cross multiply
    3,534.12x = 5,297.54 × 1,682.48
  4. Step 4: Simplify right side
    3,534.12x = 8,913,005.10
  5. Step 5: Solve for x
    x = 8,913,005.10/3,534.12
  6. Step 6: Final answer
    x = 2,521.99

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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.