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Finding the Fourth Proportional to 3,496.94, 4,825.81 and 1,925.07

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Solution

The fourth proportional to 3,496.94, 4,825.81 and 1,925.07 is: 2,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.94 : 4,825.81 = 1,925.07 : x
  2. Step 2: Convert to fraction form
    3,496.94/4,825.81 = 1,925.07/x
  3. Step 3: Cross multiply
    3,496.94x = 4,825.81 × 1,925.07
  4. Step 4: Simplify right side
    3,496.94x = 9,290,022.06
  5. Step 5: Solve for x
    x = 9,290,022.06/3,496.94
  6. Step 6: Final answer
    x = 2,656.61

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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.