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Finding the Fourth Proportional to 3,908.84, 5,860.94 and 1,569.93

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Solution

The fourth proportional to 3,908.84, 5,860.94 and 1,569.93 is: 2,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.84 : 5,860.94 = 1,569.93 : x
  2. Step 2: Convert to fraction form
    3,908.84/5,860.94 = 1,569.93/x
  3. Step 3: Cross multiply
    3,908.84x = 5,860.94 × 1,569.93
  4. Step 4: Simplify right side
    3,908.84x = 9,201,257.68
  5. Step 5: Solve for x
    x = 9,201,257.68/3,908.84
  6. Step 6: Final answer
    x = 2,353.96

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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.