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Finding the Fourth Proportional to 3,497.02, 4,824.50 and 2,004.16

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Solution

The fourth proportional to 3,497.02, 4,824.50 and 2,004.16 is: 2,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.02 : 4,824.50 = 2,004.16 : x
  2. Step 2: Convert to fraction form
    3,497.02/4,824.50 = 2,004.16/x
  3. Step 3: Cross multiply
    3,497.02x = 4,824.50 × 2,004.16
  4. Step 4: Simplify right side
    3,497.02x = 9,669,069.92
  5. Step 5: Solve for x
    x = 9,669,069.92/3,497.02
  6. Step 6: Final answer
    x = 2,764.95

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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.