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Finding the Fourth Proportional to 4,887.63, 7,325.78 and 3,788.46

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Solution

The fourth proportional to 4,887.63, 7,325.78 and 3,788.46 is: 5,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.63 : 7,325.78 = 3,788.46 : x
  2. Step 2: Convert to fraction form
    4,887.63/7,325.78 = 3,788.46/x
  3. Step 3: Cross multiply
    4,887.63x = 7,325.78 × 3,788.46
  4. Step 4: Simplify right side
    4,887.63x = 27,753,405.56
  5. Step 5: Solve for x
    x = 27,753,405.56/4,887.63
  6. Step 6: Final answer
    x = 5,678.30

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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.