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Finding the Fourth Proportional to 3,786.22, 5,225.23 and 2,526.47

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Solution

The fourth proportional to 3,786.22, 5,225.23 and 2,526.47 is: 3,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.22 : 5,225.23 = 2,526.47 : x
  2. Step 2: Convert to fraction form
    3,786.22/5,225.23 = 2,526.47/x
  3. Step 3: Cross multiply
    3,786.22x = 5,225.23 × 2,526.47
  4. Step 4: Simplify right side
    3,786.22x = 13,201,391.05
  5. Step 5: Solve for x
    x = 13,201,391.05/3,786.22
  6. Step 6: Final answer
    x = 3,486.70

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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.