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Finding the Fourth Proportional to 4,576.78, 6,866.81 and 1,801.91

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Solution

The fourth proportional to 4,576.78, 6,866.81 and 1,801.91 is: 2,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.78 : 6,866.81 = 1,801.91 : x
  2. Step 2: Convert to fraction form
    4,576.78/6,866.81 = 1,801.91/x
  3. Step 3: Cross multiply
    4,576.78x = 6,866.81 × 1,801.91
  4. Step 4: Simplify right side
    4,576.78x = 12,373,373.61
  5. Step 5: Solve for x
    x = 12,373,373.61/4,576.78
  6. Step 6: Final answer
    x = 2,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.