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Finding the Fourth Proportional to 3,601.85, 4,970.53 and 2,008.47

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Solution

The fourth proportional to 3,601.85, 4,970.53 and 2,008.47 is: 2,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.85 : 4,970.53 = 2,008.47 : x
  2. Step 2: Convert to fraction form
    3,601.85/4,970.53 = 2,008.47/x
  3. Step 3: Cross multiply
    3,601.85x = 4,970.53 × 2,008.47
  4. Step 4: Simplify right side
    3,601.85x = 9,983,181.54
  5. Step 5: Solve for x
    x = 9,983,181.54/3,601.85
  6. Step 6: Final answer
    x = 2,771.69

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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.