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Finding the Fourth Proportional to 5,271.94, 7,911.77 and 3,889.01

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Solution

The fourth proportional to 5,271.94, 7,911.77 and 3,889.01 is: 5,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.94 : 7,911.77 = 3,889.01 : x
  2. Step 2: Convert to fraction form
    5,271.94/7,911.77 = 3,889.01/x
  3. Step 3: Cross multiply
    5,271.94x = 7,911.77 × 3,889.01
  4. Step 4: Simplify right side
    5,271.94x = 30,768,893.64
  5. Step 5: Solve for x
    x = 30,768,893.64/5,271.94
  6. Step 6: Final answer
    x = 5,836.35

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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.