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Finding the Fourth Proportional to 3,142.06, 4,712.40 and 950.20

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Solution

The fourth proportional to 3,142.06, 4,712.40 and 950.20 is: 1,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.06 : 4,712.40 = 950.20 : x
  2. Step 2: Convert to fraction form
    3,142.06/4,712.40 = 950.20/x
  3. Step 3: Cross multiply
    3,142.06x = 4,712.40 × 950.20
  4. Step 4: Simplify right side
    3,142.06x = 4,477,722.48
  5. Step 5: Solve for x
    x = 4,477,722.48/3,142.06
  6. Step 6: Final answer
    x = 1,425.09

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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.