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Finding the Fourth Proportional to 5,895.44, 8,838.19 and 2,561.17

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Solution

The fourth proportional to 5,895.44, 8,838.19 and 2,561.17 is: 3,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.44 : 8,838.19 = 2,561.17 : x
  2. Step 2: Convert to fraction form
    5,895.44/8,838.19 = 2,561.17/x
  3. Step 3: Cross multiply
    5,895.44x = 8,838.19 × 2,561.17
  4. Step 4: Simplify right side
    5,895.44x = 22,636,056.49
  5. Step 5: Solve for x
    x = 22,636,056.49/5,895.44
  6. Step 6: Final answer
    x = 3,839.59

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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.