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Finding the Fourth Proportional to 3,700.96, 5,108.16 and 2,522.50

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Solution

The fourth proportional to 3,700.96, 5,108.16 and 2,522.50 is: 3,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.96 : 5,108.16 = 2,522.50 : x
  2. Step 2: Convert to fraction form
    3,700.96/5,108.16 = 2,522.50/x
  3. Step 3: Cross multiply
    3,700.96x = 5,108.16 × 2,522.50
  4. Step 4: Simplify right side
    3,700.96x = 12,885,333.60
  5. Step 5: Solve for x
    x = 12,885,333.60/3,700.96
  6. Step 6: Final answer
    x = 3,481.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.