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Finding the Fourth Proportional to 6,442.24, 8,886.58 and 3,789.16

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Solution

The fourth proportional to 6,442.24, 8,886.58 and 3,789.16 is: 5,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.24 : 8,886.58 = 3,789.16 : x
  2. Step 2: Convert to fraction form
    6,442.24/8,886.58 = 3,789.16/x
  3. Step 3: Cross multiply
    6,442.24x = 8,886.58 × 3,789.16
  4. Step 4: Simplify right side
    6,442.24x = 33,672,673.47
  5. Step 5: Solve for x
    x = 33,672,673.47/6,442.24
  6. Step 6: Final answer
    x = 5,226.86

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