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Finding the Fourth Proportional to 5,271.70, 7,911.44 and 2,498.36

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Solution

The fourth proportional to 5,271.70, 7,911.44 and 2,498.36 is: 3,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.70 : 7,911.44 = 2,498.36 : x
  2. Step 2: Convert to fraction form
    5,271.70/7,911.44 = 2,498.36/x
  3. Step 3: Cross multiply
    5,271.70x = 7,911.44 × 2,498.36
  4. Step 4: Simplify right side
    5,271.70x = 19,765,612.75
  5. Step 5: Solve for x
    x = 19,765,612.75/5,271.70
  6. Step 6: Final answer
    x = 3,749.38

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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.