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Finding the Fourth Proportional to 3,574.45, 4,932.72 and 2,002.54

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Solution

The fourth proportional to 3,574.45, 4,932.72 and 2,002.54 is: 2,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.45 : 4,932.72 = 2,002.54 : x
  2. Step 2: Convert to fraction form
    3,574.45/4,932.72 = 2,002.54/x
  3. Step 3: Cross multiply
    3,574.45x = 4,932.72 × 2,002.54
  4. Step 4: Simplify right side
    3,574.45x = 9,877,944.45
  5. Step 5: Solve for x
    x = 9,877,944.45/3,574.45
  6. Step 6: Final answer
    x = 2,763.49

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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.