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Finding the Fourth Proportional to 5,277.64, 7,912.62 and 3,430.60

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Solution

The fourth proportional to 5,277.64, 7,912.62 and 3,430.60 is: 5,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.64 : 7,912.62 = 3,430.60 : x
  2. Step 2: Convert to fraction form
    5,277.64/7,912.62 = 3,430.60/x
  3. Step 3: Cross multiply
    5,277.64x = 7,912.62 × 3,430.60
  4. Step 4: Simplify right side
    5,277.64x = 27,145,034.17
  5. Step 5: Solve for x
    x = 27,145,034.17/5,277.64
  6. Step 6: Final answer
    x = 5,143.40

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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.