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Finding the Fourth Proportional to 3,890.34, 5,827.95 and 3,454.02

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Solution

The fourth proportional to 3,890.34, 5,827.95 and 3,454.02 is: 5,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.34 : 5,827.95 = 3,454.02 : x
  2. Step 2: Convert to fraction form
    3,890.34/5,827.95 = 3,454.02/x
  3. Step 3: Cross multiply
    3,890.34x = 5,827.95 × 3,454.02
  4. Step 4: Simplify right side
    3,890.34x = 20,129,855.86
  5. Step 5: Solve for x
    x = 20,129,855.86/3,890.34
  6. Step 6: Final answer
    x = 5,174.32

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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.