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Finding the Fourth Proportional to 5,234.25, 7,854.98 and 2,156.25

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Solution

The fourth proportional to 5,234.25, 7,854.98 and 2,156.25 is: 3,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.25 : 7,854.98 = 2,156.25 : x
  2. Step 2: Convert to fraction form
    5,234.25/7,854.98 = 2,156.25/x
  3. Step 3: Cross multiply
    5,234.25x = 7,854.98 × 2,156.25
  4. Step 4: Simplify right side
    5,234.25x = 16,937,289.84
  5. Step 5: Solve for x
    x = 16,937,289.84/5,234.25
  6. Step 6: Final answer
    x = 3,235.86

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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.