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Finding the Fourth Proportional to 5,110.90, 7,048.83 and 3,013

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Solution

The fourth proportional to 5,110.90, 7,048.83 and 3,013 is: 4,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.90 : 7,048.83 = 3,013 : x
  2. Step 2: Convert to fraction form
    5,110.90/7,048.83 = 3,013/x
  3. Step 3: Cross multiply
    5,110.90x = 7,048.83 × 3,013
  4. Step 4: Simplify right side
    5,110.90x = 21,238,124.79
  5. Step 5: Solve for x
    x = 21,238,124.79/5,110.90
  6. Step 6: Final answer
    x = 4,155.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.