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Finding the Fourth Proportional to 4,683.66, 7,029.75 and 2,494.23

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Solution

The fourth proportional to 4,683.66, 7,029.75 and 2,494.23 is: 3,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.66 : 7,029.75 = 2,494.23 : x
  2. Step 2: Convert to fraction form
    4,683.66/7,029.75 = 2,494.23/x
  3. Step 3: Cross multiply
    4,683.66x = 7,029.75 × 2,494.23
  4. Step 4: Simplify right side
    4,683.66x = 17,533,813.34
  5. Step 5: Solve for x
    x = 17,533,813.34/4,683.66
  6. Step 6: Final answer
    x = 3,743.61

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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.