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Finding the Fourth Proportional to 5,121.90, 7,682.85 and 4,257.90

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Solution

The fourth proportional to 5,121.90, 7,682.85 and 4,257.90 is: 6,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.90 : 7,682.85 = 4,257.90 : x
  2. Step 2: Convert to fraction form
    5,121.90/7,682.85 = 4,257.90/x
  3. Step 3: Cross multiply
    5,121.90x = 7,682.85 × 4,257.90
  4. Step 4: Simplify right side
    5,121.90x = 32,712,807.02
  5. Step 5: Solve for x
    x = 32,712,807.02/5,121.90
  6. Step 6: Final answer
    x = 6,386.85

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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.