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Finding the Fourth Proportional to 4,568.25, 6,848.27 and 1,644.50

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Solution

The fourth proportional to 4,568.25, 6,848.27 and 1,644.50 is: 2,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.25 : 6,848.27 = 1,644.50 : x
  2. Step 2: Convert to fraction form
    4,568.25/6,848.27 = 1,644.50/x
  3. Step 3: Cross multiply
    4,568.25x = 6,848.27 × 1,644.50
  4. Step 4: Simplify right side
    4,568.25x = 11,261,971.79
  5. Step 5: Solve for x
    x = 11,261,971.79/4,568.25
  6. Step 6: Final answer
    x = 2,465.27

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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.