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Finding the Fourth Proportional to 5,758.40, 8,641.98 and 3,905.12

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Solution

The fourth proportional to 5,758.40, 8,641.98 and 3,905.12 is: 5,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.40 : 8,641.98 = 3,905.12 : x
  2. Step 2: Convert to fraction form
    5,758.40/8,641.98 = 3,905.12/x
  3. Step 3: Cross multiply
    5,758.40x = 8,641.98 × 3,905.12
  4. Step 4: Simplify right side
    5,758.40x = 33,747,968.94
  5. Step 5: Solve for x
    x = 33,747,968.94/5,758.40
  6. Step 6: Final answer
    x = 5,860.65

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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.