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Finding the Fourth Proportional to 4,968.96, 7,453.40 and 1,271.18

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Solution

The fourth proportional to 4,968.96, 7,453.40 and 1,271.18 is: 1,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.96 : 7,453.40 = 1,271.18 : x
  2. Step 2: Convert to fraction form
    4,968.96/7,453.40 = 1,271.18/x
  3. Step 3: Cross multiply
    4,968.96x = 7,453.40 × 1,271.18
  4. Step 4: Simplify right side
    4,968.96x = 9,474,569.39
  5. Step 5: Solve for x
    x = 9,474,569.39/4,968.96
  6. Step 6: Final answer
    x = 1,906.75

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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.