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Finding the Fourth Proportional to 4,648.72, 6,973.21 and 1,361.82

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Solution

The fourth proportional to 4,648.72, 6,973.21 and 1,361.82 is: 2,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.72 : 6,973.21 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    4,648.72/6,973.21 = 1,361.82/x
  3. Step 3: Cross multiply
    4,648.72x = 6,973.21 × 1,361.82
  4. Step 4: Simplify right side
    4,648.72x = 9,496,225.38
  5. Step 5: Solve for x
    x = 9,496,225.38/4,648.72
  6. Step 6: Final answer
    x = 2,042.76

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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.