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Finding the Fourth Proportional to 5,172.60, 7,137.54 and 4,284.84

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Solution

The fourth proportional to 5,172.60, 7,137.54 and 4,284.84 is: 5,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.60 : 7,137.54 = 4,284.84 : x
  2. Step 2: Convert to fraction form
    5,172.60/7,137.54 = 4,284.84/x
  3. Step 3: Cross multiply
    5,172.60x = 7,137.54 × 4,284.84
  4. Step 4: Simplify right side
    5,172.60x = 30,583,216.89
  5. Step 5: Solve for x
    x = 30,583,216.89/5,172.60
  6. Step 6: Final answer
    x = 5,912.54

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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.