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Finding the Fourth Proportional to 3,905.65, 5,392.31 and 3,485.28

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Solution

The fourth proportional to 3,905.65, 5,392.31 and 3,485.28 is: 4,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.65 : 5,392.31 = 3,485.28 : x
  2. Step 2: Convert to fraction form
    3,905.65/5,392.31 = 3,485.28/x
  3. Step 3: Cross multiply
    3,905.65x = 5,392.31 × 3,485.28
  4. Step 4: Simplify right side
    3,905.65x = 18,793,722.18
  5. Step 5: Solve for x
    x = 18,793,722.18/3,905.65
  6. Step 6: Final answer
    x = 4,811.93

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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.