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Finding the Fourth Proportional to 5,857.92, 8,780.40 and 3,907.44

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Solution

The fourth proportional to 5,857.92, 8,780.40 and 3,907.44 is: 5,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.92 : 8,780.40 = 3,907.44 : x
  2. Step 2: Convert to fraction form
    5,857.92/8,780.40 = 3,907.44/x
  3. Step 3: Cross multiply
    5,857.92x = 8,780.40 × 3,907.44
  4. Step 4: Simplify right side
    5,857.92x = 34,308,886.18
  5. Step 5: Solve for x
    x = 34,308,886.18/5,857.92
  6. Step 6: Final answer
    x = 5,856.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.