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Finding the Fourth Proportional to 4,673.36, 6,450.36 and 2,810

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Solution

The fourth proportional to 4,673.36, 6,450.36 and 2,810 is: 3,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.36 : 6,450.36 = 2,810 : x
  2. Step 2: Convert to fraction form
    4,673.36/6,450.36 = 2,810/x
  3. Step 3: Cross multiply
    4,673.36x = 6,450.36 × 2,810
  4. Step 4: Simplify right side
    4,673.36x = 18,125,511.60
  5. Step 5: Solve for x
    x = 18,125,511.60/4,673.36
  6. Step 6: Final answer
    x = 3,878.48

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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.