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Finding the Fourth Proportional to 4,522.51, 6,757.82 and 3,448

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Solution

The fourth proportional to 4,522.51, 6,757.82 and 3,448 is: 5,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.51 : 6,757.82 = 3,448 : x
  2. Step 2: Convert to fraction form
    4,522.51/6,757.82 = 3,448/x
  3. Step 3: Cross multiply
    4,522.51x = 6,757.82 × 3,448
  4. Step 4: Simplify right side
    4,522.51x = 23,300,963.36
  5. Step 5: Solve for x
    x = 23,300,963.36/4,522.51
  6. Step 6: Final answer
    x = 5,152.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.