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Finding the Fourth Proportional to 4,664.55, 7,022.37 and 4,256.31

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Solution

The fourth proportional to 4,664.55, 7,022.37 and 4,256.31 is: 6,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.55 : 7,022.37 = 4,256.31 : x
  2. Step 2: Convert to fraction form
    4,664.55/7,022.37 = 4,256.31/x
  3. Step 3: Cross multiply
    4,664.55x = 7,022.37 × 4,256.31
  4. Step 4: Simplify right side
    4,664.55x = 29,889,383.65
  5. Step 5: Solve for x
    x = 29,889,383.65/4,664.55
  6. Step 6: Final answer
    x = 6,407.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.