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Finding the Fourth Proportional to 3,347.46, 5,014.70 and 1,617.30

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Solution

The fourth proportional to 3,347.46, 5,014.70 and 1,617.30 is: 2,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.46 : 5,014.70 = 1,617.30 : x
  2. Step 2: Convert to fraction form
    3,347.46/5,014.70 = 1,617.30/x
  3. Step 3: Cross multiply
    3,347.46x = 5,014.70 × 1,617.30
  4. Step 4: Simplify right side
    3,347.46x = 8,110,274.31
  5. Step 5: Solve for x
    x = 8,110,274.31/3,347.46
  6. Step 6: Final answer
    x = 2,422.81

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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.