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Finding the Fourth Proportional to 4,644.78, 6,970.68 and 3,249

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Solution

The fourth proportional to 4,644.78, 6,970.68 and 3,249 is: 4,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.78 : 6,970.68 = 3,249 : x
  2. Step 2: Convert to fraction form
    4,644.78/6,970.68 = 3,249/x
  3. Step 3: Cross multiply
    4,644.78x = 6,970.68 × 3,249
  4. Step 4: Simplify right side
    4,644.78x = 22,647,739.32
  5. Step 5: Solve for x
    x = 22,647,739.32/4,644.78
  6. Step 6: Final answer
    x = 4,875.96

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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.