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Finding the Fourth Proportional to 5,130.83, 7,697.63 and 1,843.96

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Solution

The fourth proportional to 5,130.83, 7,697.63 and 1,843.96 is: 2,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.83 : 7,697.63 = 1,843.96 : x
  2. Step 2: Convert to fraction form
    5,130.83/7,697.63 = 1,843.96/x
  3. Step 3: Cross multiply
    5,130.83x = 7,697.63 × 1,843.96
  4. Step 4: Simplify right side
    5,130.83x = 14,194,093.35
  5. Step 5: Solve for x
    x = 14,194,093.35/5,130.83
  6. Step 6: Final answer
    x = 2,766.43

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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.