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Finding the Fourth Proportional to 3,142.02, 4,713.06 and 1,292.41

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Solution

The fourth proportional to 3,142.02, 4,713.06 and 1,292.41 is: 1,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.02 : 4,713.06 = 1,292.41 : x
  2. Step 2: Convert to fraction form
    3,142.02/4,713.06 = 1,292.41/x
  3. Step 3: Cross multiply
    3,142.02x = 4,713.06 × 1,292.41
  4. Step 4: Simplify right side
    3,142.02x = 6,091,205.87
  5. Step 5: Solve for x
    x = 6,091,205.87/3,142.02
  6. Step 6: Final answer
    x = 1,938.63

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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.