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Finding the Fourth Proportional to 3,133.72, 4,700.07 and 942.06

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Solution

The fourth proportional to 3,133.72, 4,700.07 and 942.06 is: 1,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.72 : 4,700.07 = 942.06 : x
  2. Step 2: Convert to fraction form
    3,133.72/4,700.07 = 942.06/x
  3. Step 3: Cross multiply
    3,133.72x = 4,700.07 × 942.06
  4. Step 4: Simplify right side
    3,133.72x = 4,427,747.94
  5. Step 5: Solve for x
    x = 4,427,747.94/3,133.72
  6. Step 6: Final answer
    x = 1,412.94

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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.