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Finding the Fourth Proportional to 3,466.64, 5,192.17 and 2,681.12

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Solution

The fourth proportional to 3,466.64, 5,192.17 and 2,681.12 is: 4,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 5,192.17 = 2,681.12 : x
  2. Step 2: Convert to fraction form
    3,466.64/5,192.17 = 2,681.12/x
  3. Step 3: Cross multiply
    3,466.64x = 5,192.17 × 2,681.12
  4. Step 4: Simplify right side
    3,466.64x = 13,920,830.83
  5. Step 5: Solve for x
    x = 13,920,830.83/3,466.64
  6. Step 6: Final answer
    x = 4,015.66

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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.