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Finding the Fourth Proportional to 3,905.84, 5,392.57 and 3,485.47

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Solution

The fourth proportional to 3,905.84, 5,392.57 and 3,485.47 is: 4,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.84 : 5,392.57 = 3,485.47 : x
  2. Step 2: Convert to fraction form
    3,905.84/5,392.57 = 3,485.47/x
  3. Step 3: Cross multiply
    3,905.84x = 5,392.57 × 3,485.47
  4. Step 4: Simplify right side
    3,905.84x = 18,795,638.37
  5. Step 5: Solve for x
    x = 18,795,638.37/3,905.84
  6. Step 6: Final answer
    x = 4,812.19

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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.