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Finding the Fourth Proportional to 4,584.92, 6,878.42 and 1,663.22

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Solution

The fourth proportional to 4,584.92, 6,878.42 and 1,663.22 is: 2,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.92 : 6,878.42 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    4,584.92/6,878.42 = 1,663.22/x
  3. Step 3: Cross multiply
    4,584.92x = 6,878.42 × 1,663.22
  4. Step 4: Simplify right side
    4,584.92x = 11,440,317.40
  5. Step 5: Solve for x
    x = 11,440,317.40/4,584.92
  6. Step 6: Final answer
    x = 2,495.21

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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.