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Finding the Fourth Proportional to 4,647.07, 6,413 and 2,522.62

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Solution

The fourth proportional to 4,647.07, 6,413 and 2,522.62 is: 3,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.07 : 6,413 = 2,522.62 : x
  2. Step 2: Convert to fraction form
    4,647.07/6,413 = 2,522.62/x
  3. Step 3: Cross multiply
    4,647.07x = 6,413 × 2,522.62
  4. Step 4: Simplify right side
    4,647.07x = 16,177,530.00
  5. Step 5: Solve for x
    x = 16,177,530.00/4,647.07
  6. Step 6: Final answer
    x = 3,481.24

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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.