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Finding the Fourth Proportional to 5,138.54, 7,091.16 and 2,900.40

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Solution

The fourth proportional to 5,138.54, 7,091.16 and 2,900.40 is: 4,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.54 : 7,091.16 = 2,900.40 : x
  2. Step 2: Convert to fraction form
    5,138.54/7,091.16 = 2,900.40/x
  3. Step 3: Cross multiply
    5,138.54x = 7,091.16 × 2,900.40
  4. Step 4: Simplify right side
    5,138.54x = 20,567,200.46
  5. Step 5: Solve for x
    x = 20,567,200.46/5,138.54
  6. Step 6: Final answer
    x = 4,002.54

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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.