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Finding the Fourth Proportional to 3,523.84, 5,282.25 and 1,763.47

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Solution

The fourth proportional to 3,523.84, 5,282.25 and 1,763.47 is: 2,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.84 : 5,282.25 = 1,763.47 : x
  2. Step 2: Convert to fraction form
    3,523.84/5,282.25 = 1,763.47/x
  3. Step 3: Cross multiply
    3,523.84x = 5,282.25 × 1,763.47
  4. Step 4: Simplify right side
    3,523.84x = 9,315,096.84
  5. Step 5: Solve for x
    x = 9,315,096.84/3,523.84
  6. Step 6: Final answer
    x = 2,643.45

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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.