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Finding the Fourth Proportional to 3,935.84, 5,426.42 and 3,225.07

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Solution

The fourth proportional to 3,935.84, 5,426.42 and 3,225.07 is: 4,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.84 : 5,426.42 = 3,225.07 : x
  2. Step 2: Convert to fraction form
    3,935.84/5,426.42 = 3,225.07/x
  3. Step 3: Cross multiply
    3,935.84x = 5,426.42 × 3,225.07
  4. Step 4: Simplify right side
    3,935.84x = 17,500,541.09
  5. Step 5: Solve for x
    x = 17,500,541.09/3,935.84
  6. Step 6: Final answer
    x = 4,446.46

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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.