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Finding the Fourth Proportional to 3,770.16, 5,200.92 and 2,526

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Solution

The fourth proportional to 3,770.16, 5,200.92 and 2,526 is: 3,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.16 : 5,200.92 = 2,526 : x
  2. Step 2: Convert to fraction form
    3,770.16/5,200.92 = 2,526/x
  3. Step 3: Cross multiply
    3,770.16x = 5,200.92 × 2,526
  4. Step 4: Simplify right side
    3,770.16x = 13,137,523.92
  5. Step 5: Solve for x
    x = 13,137,523.92/3,770.16
  6. Step 6: Final answer
    x = 3,484.61

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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.