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Finding the Fourth Proportional to 3,013.70, 4,517.37 and 1,038.71

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Solution

The fourth proportional to 3,013.70, 4,517.37 and 1,038.71 is: 1,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.70 : 4,517.37 = 1,038.71 : x
  2. Step 2: Convert to fraction form
    3,013.70/4,517.37 = 1,038.71/x
  3. Step 3: Cross multiply
    3,013.70x = 4,517.37 × 1,038.71
  4. Step 4: Simplify right side
    3,013.70x = 4,692,237.39
  5. Step 5: Solve for x
    x = 4,692,237.39/3,013.70
  6. Step 6: Final answer
    x = 1,556.97

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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.