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Finding the Fourth Proportional to 5,108.69, 7,652.71 and 4,683.44

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Solution

The fourth proportional to 5,108.69, 7,652.71 and 4,683.44 is: 7,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.69 : 7,652.71 = 4,683.44 : x
  2. Step 2: Convert to fraction form
    5,108.69/7,652.71 = 4,683.44/x
  3. Step 3: Cross multiply
    5,108.69x = 7,652.71 × 4,683.44
  4. Step 4: Simplify right side
    5,108.69x = 35,841,008.12
  5. Step 5: Solve for x
    x = 35,841,008.12/5,108.69
  6. Step 6: Final answer
    x = 7,015.69

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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.