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Finding the Fourth Proportional to 3,462.52, 5,190.71 and 1,270.75

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Solution

The fourth proportional to 3,462.52, 5,190.71 and 1,270.75 is: 1,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.52 : 5,190.71 = 1,270.75 : x
  2. Step 2: Convert to fraction form
    3,462.52/5,190.71 = 1,270.75/x
  3. Step 3: Cross multiply
    3,462.52x = 5,190.71 × 1,270.75
  4. Step 4: Simplify right side
    3,462.52x = 6,596,094.73
  5. Step 5: Solve for x
    x = 6,596,094.73/3,462.52
  6. Step 6: Final answer
    x = 1,905.00

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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.