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Finding the Fourth Proportional to 6,401.79, 8,834.43 and 3,569.13

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Solution

The fourth proportional to 6,401.79, 8,834.43 and 3,569.13 is: 4,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.79 : 8,834.43 = 3,569.13 : x
  2. Step 2: Convert to fraction form
    6,401.79/8,834.43 = 3,569.13/x
  3. Step 3: Cross multiply
    6,401.79x = 8,834.43 × 3,569.13
  4. Step 4: Simplify right side
    6,401.79x = 31,531,229.15
  5. Step 5: Solve for x
    x = 31,531,229.15/6,401.79
  6. Step 6: Final answer
    x = 4,925.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.