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Finding the Fourth Proportional to 5,513, 7,607.94 and 3,029

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Solution

The fourth proportional to 5,513, 7,607.94 and 3,029 is: 4,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513 : 7,607.94 = 3,029 : x
  2. Step 2: Convert to fraction form
    5,513/7,607.94 = 3,029/x
  3. Step 3: Cross multiply
    5,513x = 7,607.94 × 3,029
  4. Step 4: Simplify right side
    5,513x = 23,044,450.26
  5. Step 5: Solve for x
    x = 23,044,450.26/5,513
  6. Step 6: Final answer
    x = 4,180.02

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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.