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Finding the Fourth Proportional to 3,895.56, 5,376.24 and 3,223.26

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Solution

The fourth proportional to 3,895.56, 5,376.24 and 3,223.26 is: 4,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.56 : 5,376.24 = 3,223.26 : x
  2. Step 2: Convert to fraction form
    3,895.56/5,376.24 = 3,223.26/x
  3. Step 3: Cross multiply
    3,895.56x = 5,376.24 × 3,223.26
  4. Step 4: Simplify right side
    3,895.56x = 17,329,019.34
  5. Step 5: Solve for x
    x = 17,329,019.34/3,895.56
  6. Step 6: Final answer
    x = 4,448.40

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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.