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Finding the Fourth Proportional to 4,683.44, 7,004.46 and 4,167.06

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Solution

The fourth proportional to 4,683.44, 7,004.46 and 4,167.06 is: 6,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.44 : 7,004.46 = 4,167.06 : x
  2. Step 2: Convert to fraction form
    4,683.44/7,004.46 = 4,167.06/x
  3. Step 3: Cross multiply
    4,683.44x = 7,004.46 × 4,167.06
  4. Step 4: Simplify right side
    4,683.44x = 29,188,005.09
  5. Step 5: Solve for x
    x = 29,188,005.09/4,683.44
  6. Step 6: Final answer
    x = 6,232.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.