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Finding the Fourth Proportional to 5,234.54, 7,854.50 and 2,894.11

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Solution

The fourth proportional to 5,234.54, 7,854.50 and 2,894.11 is: 4,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.54 : 7,854.50 = 2,894.11 : x
  2. Step 2: Convert to fraction form
    5,234.54/7,854.50 = 2,894.11/x
  3. Step 3: Cross multiply
    5,234.54x = 7,854.50 × 2,894.11
  4. Step 4: Simplify right side
    5,234.54x = 22,731,787.00
  5. Step 5: Solve for x
    x = 22,731,787.00/5,234.54
  6. Step 6: Final answer
    x = 4,342.65

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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.