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Finding the Fourth Proportional to 3,758.84, 5,635.22 and 1,569.21

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Solution

The fourth proportional to 3,758.84, 5,635.22 and 1,569.21 is: 2,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.84 : 5,635.22 = 1,569.21 : x
  2. Step 2: Convert to fraction form
    3,758.84/5,635.22 = 1,569.21/x
  3. Step 3: Cross multiply
    3,758.84x = 5,635.22 × 1,569.21
  4. Step 4: Simplify right side
    3,758.84x = 8,842,820.48
  5. Step 5: Solve for x
    x = 8,842,820.48/3,758.84
  6. Step 6: Final answer
    x = 2,352.54

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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.