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Finding the Fourth Proportional to 5,135.58, 7,701.84 and 1,847.78

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Solution

The fourth proportional to 5,135.58, 7,701.84 and 1,847.78 is: 2,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.58 : 7,701.84 = 1,847.78 : x
  2. Step 2: Convert to fraction form
    5,135.58/7,701.84 = 1,847.78/x
  3. Step 3: Cross multiply
    5,135.58x = 7,701.84 × 1,847.78
  4. Step 4: Simplify right side
    5,135.58x = 14,231,305.92
  5. Step 5: Solve for x
    x = 14,231,305.92/5,135.58
  6. Step 6: Final answer
    x = 2,771.12

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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.