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Finding the Fourth Proportional to 3,466.74, 5,199.95 and 1,275.31

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Solution

The fourth proportional to 3,466.74, 5,199.95 and 1,275.31 is: 1,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.74 : 5,199.95 = 1,275.31 : x
  2. Step 2: Convert to fraction form
    3,466.74/5,199.95 = 1,275.31/x
  3. Step 3: Cross multiply
    3,466.74x = 5,199.95 × 1,275.31
  4. Step 4: Simplify right side
    3,466.74x = 6,631,548.23
  5. Step 5: Solve for x
    x = 6,631,548.23/3,466.74
  6. Step 6: Final answer
    x = 1,912.91

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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.