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Finding the Fourth Proportional to 3,604.74, 4,974.60 and 2,032.84

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Solution

The fourth proportional to 3,604.74, 4,974.60 and 2,032.84 is: 2,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.74 : 4,974.60 = 2,032.84 : x
  2. Step 2: Convert to fraction form
    3,604.74/4,974.60 = 2,032.84/x
  3. Step 3: Cross multiply
    3,604.74x = 4,974.60 × 2,032.84
  4. Step 4: Simplify right side
    3,604.74x = 10,112,565.86
  5. Step 5: Solve for x
    x = 10,112,565.86/3,604.74
  6. Step 6: Final answer
    x = 2,805.35

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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.