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Finding the Fourth Proportional to 5,882.84, 8,828.40 and 2,762.96

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Solution

The fourth proportional to 5,882.84, 8,828.40 and 2,762.96 is: 4,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.84 : 8,828.40 = 2,762.96 : x
  2. Step 2: Convert to fraction form
    5,882.84/8,828.40 = 2,762.96/x
  3. Step 3: Cross multiply
    5,882.84x = 8,828.40 × 2,762.96
  4. Step 4: Simplify right side
    5,882.84x = 24,392,516.06
  5. Step 5: Solve for x
    x = 24,392,516.06/5,882.84
  6. Step 6: Final answer
    x = 4,146.38

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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.