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Finding the Fourth Proportional to 3,664.04, 5,486.94 and 2,563.25

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Solution

The fourth proportional to 3,664.04, 5,486.94 and 2,563.25 is: 3,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.04 : 5,486.94 = 2,563.25 : x
  2. Step 2: Convert to fraction form
    3,664.04/5,486.94 = 2,563.25/x
  3. Step 3: Cross multiply
    3,664.04x = 5,486.94 × 2,563.25
  4. Step 4: Simplify right side
    3,664.04x = 14,064,422.28
  5. Step 5: Solve for x
    x = 14,064,422.28/3,664.04
  6. Step 6: Final answer
    x = 3,838.50

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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.