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Finding the Fourth Proportional to 4,737, 6,537.06 and 2,747.94

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Solution

The fourth proportional to 4,737, 6,537.06 and 2,747.94 is: 3,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 6,537.06 = 2,747.94 : x
  2. Step 2: Convert to fraction form
    4,737/6,537.06 = 2,747.94/x
  3. Step 3: Cross multiply
    4,737x = 6,537.06 × 2,747.94
  4. Step 4: Simplify right side
    4,737x = 17,963,448.66
  5. Step 5: Solve for x
    x = 17,963,448.66/4,737
  6. Step 6: Final answer
    x = 3,792.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.