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Finding the Fourth Proportional to 5,212.85, 7,820.17 and 1,925.96

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Solution

The fourth proportional to 5,212.85, 7,820.17 and 1,925.96 is: 2,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.85 : 7,820.17 = 1,925.96 : x
  2. Step 2: Convert to fraction form
    5,212.85/7,820.17 = 1,925.96/x
  3. Step 3: Cross multiply
    5,212.85x = 7,820.17 × 1,925.96
  4. Step 4: Simplify right side
    5,212.85x = 15,061,334.61
  5. Step 5: Solve for x
    x = 15,061,334.61/5,212.85
  6. Step 6: Final answer
    x = 2,889.27

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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.