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Finding the Fourth Proportional to 3,138, 4,707.06 and 829.56

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Solution

The fourth proportional to 3,138, 4,707.06 and 829.56 is: 1,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 4,707.06 = 829.56 : x
  2. Step 2: Convert to fraction form
    3,138/4,707.06 = 829.56/x
  3. Step 3: Cross multiply
    3,138x = 4,707.06 × 829.56
  4. Step 4: Simplify right side
    3,138x = 3,904,788.69
  5. Step 5: Solve for x
    x = 3,904,788.69/3,138
  6. Step 6: Final answer
    x = 1,244.36

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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.