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Finding the Fourth Proportional to 5,647.36, 7,792.90 and 3,129.58

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Solution

The fourth proportional to 5,647.36, 7,792.90 and 3,129.58 is: 4,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.36 : 7,792.90 = 3,129.58 : x
  2. Step 2: Convert to fraction form
    5,647.36/7,792.90 = 3,129.58/x
  3. Step 3: Cross multiply
    5,647.36x = 7,792.90 × 3,129.58
  4. Step 4: Simplify right side
    5,647.36x = 24,388,503.98
  5. Step 5: Solve for x
    x = 24,388,503.98/5,647.36
  6. Step 6: Final answer
    x = 4,318.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.