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Finding the Fourth Proportional to 4,389.16, 6,576.82 and 1,612

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Solution

The fourth proportional to 4,389.16, 6,576.82 and 1,612 is: 2,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.16 : 6,576.82 = 1,612 : x
  2. Step 2: Convert to fraction form
    4,389.16/6,576.82 = 1,612/x
  3. Step 3: Cross multiply
    4,389.16x = 6,576.82 × 1,612
  4. Step 4: Simplify right side
    4,389.16x = 10,601,833.84
  5. Step 5: Solve for x
    x = 10,601,833.84/4,389.16
  6. Step 6: Final answer
    x = 2,415.46

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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.