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Finding the Fourth Proportional to 5,405.76, 8,101.58 and 2,771.03

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Solution

The fourth proportional to 5,405.76, 8,101.58 and 2,771.03 is: 4,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 8,101.58 = 2,771.03 : x
  2. Step 2: Convert to fraction form
    5,405.76/8,101.58 = 2,771.03/x
  3. Step 3: Cross multiply
    5,405.76x = 8,101.58 × 2,771.03
  4. Step 4: Simplify right side
    5,405.76x = 22,449,727.63
  5. Step 5: Solve for x
    x = 22,449,727.63/5,405.76
  6. Step 6: Final answer
    x = 4,152.93

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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.