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Finding the Fourth Proportional to 3,218.88, 4,828.70 and 1,138.45

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Solution

The fourth proportional to 3,218.88, 4,828.70 and 1,138.45 is: 1,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.88 : 4,828.70 = 1,138.45 : x
  2. Step 2: Convert to fraction form
    3,218.88/4,828.70 = 1,138.45/x
  3. Step 3: Cross multiply
    3,218.88x = 4,828.70 × 1,138.45
  4. Step 4: Simplify right side
    3,218.88x = 5,497,233.52
  5. Step 5: Solve for x
    x = 5,497,233.52/3,218.88
  6. Step 6: Final answer
    x = 1,707.81

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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.