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Finding the Fourth Proportional to 3,898.83, 5,820.45 and 3,762.12

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Solution

The fourth proportional to 3,898.83, 5,820.45 and 3,762.12 is: 5,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.83 : 5,820.45 = 3,762.12 : x
  2. Step 2: Convert to fraction form
    3,898.83/5,820.45 = 3,762.12/x
  3. Step 3: Cross multiply
    3,898.83x = 5,820.45 × 3,762.12
  4. Step 4: Simplify right side
    3,898.83x = 21,897,231.35
  5. Step 5: Solve for x
    x = 21,897,231.35/3,898.83
  6. Step 6: Final answer
    x = 5,616.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.