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Finding the Fourth Proportional to 3,604.51, 4,974.12 and 2,032.57

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Solution

The fourth proportional to 3,604.51, 4,974.12 and 2,032.57 is: 2,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.51 : 4,974.12 = 2,032.57 : x
  2. Step 2: Convert to fraction form
    3,604.51/4,974.12 = 2,032.57/x
  3. Step 3: Cross multiply
    3,604.51x = 4,974.12 × 2,032.57
  4. Step 4: Simplify right side
    3,604.51x = 10,110,247.09
  5. Step 5: Solve for x
    x = 10,110,247.09/3,604.51
  6. Step 6: Final answer
    x = 2,804.89

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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.