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Finding the Fourth Proportional to 3,717.84, 5,569.47 and 2,399.70

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Solution

The fourth proportional to 3,717.84, 5,569.47 and 2,399.70 is: 3,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.84 : 5,569.47 = 2,399.70 : x
  2. Step 2: Convert to fraction form
    3,717.84/5,569.47 = 2,399.70/x
  3. Step 3: Cross multiply
    3,717.84x = 5,569.47 × 2,399.70
  4. Step 4: Simplify right side
    3,717.84x = 13,365,057.16
  5. Step 5: Solve for x
    x = 13,365,057.16/3,717.84
  6. Step 6: Final answer
    x = 3,594.84

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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.