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Finding the Fourth Proportional to 3,597.86, 4,965.14 and 2,004.62

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Solution

The fourth proportional to 3,597.86, 4,965.14 and 2,004.62 is: 2,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.86 : 4,965.14 = 2,004.62 : x
  2. Step 2: Convert to fraction form
    3,597.86/4,965.14 = 2,004.62/x
  3. Step 3: Cross multiply
    3,597.86x = 4,965.14 × 2,004.62
  4. Step 4: Simplify right side
    3,597.86x = 9,953,196.51
  5. Step 5: Solve for x
    x = 9,953,196.51/3,597.86
  6. Step 6: Final answer
    x = 2,766.42

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Why These Related Problems?

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