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Finding the Fourth Proportional to 6,442.17, 8,887.63 and 3,785.37

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Solution

The fourth proportional to 6,442.17, 8,887.63 and 3,785.37 is: 5,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.17 : 8,887.63 = 3,785.37 : x
  2. Step 2: Convert to fraction form
    6,442.17/8,887.63 = 3,785.37/x
  3. Step 3: Cross multiply
    6,442.17x = 8,887.63 × 3,785.37
  4. Step 4: Simplify right side
    6,442.17x = 33,642,967.97
  5. Step 5: Solve for x
    x = 33,642,967.97/6,442.17
  6. Step 6: Final answer
    x = 5,222.30

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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.