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Finding the Fourth Proportional to 4,650.70, 6,975.42 and 1,839.49

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Solution

The fourth proportional to 4,650.70, 6,975.42 and 1,839.49 is: 2,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.70 : 6,975.42 = 1,839.49 : x
  2. Step 2: Convert to fraction form
    4,650.70/6,975.42 = 1,839.49/x
  3. Step 3: Cross multiply
    4,650.70x = 6,975.42 × 1,839.49
  4. Step 4: Simplify right side
    4,650.70x = 12,831,215.34
  5. Step 5: Solve for x
    x = 12,831,215.34/4,650.70
  6. Step 6: Final answer
    x = 2,758.99

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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.