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Finding the Fourth Proportional to 4,683.74, 7,017.39 and 4,175.30

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Solution

The fourth proportional to 4,683.74, 7,017.39 and 4,175.30 is: 6,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.74 : 7,017.39 = 4,175.30 : x
  2. Step 2: Convert to fraction form
    4,683.74/7,017.39 = 4,175.30/x
  3. Step 3: Cross multiply
    4,683.74x = 7,017.39 × 4,175.30
  4. Step 4: Simplify right side
    4,683.74x = 29,299,708.47
  5. Step 5: Solve for x
    x = 29,299,708.47/4,683.74
  6. Step 6: Final answer
    x = 6,255.62

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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.