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Finding the Fourth Proportional to 3,604.16, 4,974.24 and 3,013.76

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Solution

The fourth proportional to 3,604.16, 4,974.24 and 3,013.76 is: 4,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.16 : 4,974.24 = 3,013.76 : x
  2. Step 2: Convert to fraction form
    3,604.16/4,974.24 = 3,013.76/x
  3. Step 3: Cross multiply
    3,604.16x = 4,974.24 × 3,013.76
  4. Step 4: Simplify right side
    3,604.16x = 14,991,165.54
  5. Step 5: Solve for x
    x = 14,991,165.54/3,604.16
  6. Step 6: Final answer
    x = 4,159.41

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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.