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Finding the Fourth Proportional to 5,205.15, 7,803.91 and 1,918.30

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Solution

The fourth proportional to 5,205.15, 7,803.91 and 1,918.30 is: 2,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.15 : 7,803.91 = 1,918.30 : x
  2. Step 2: Convert to fraction form
    5,205.15/7,803.91 = 1,918.30/x
  3. Step 3: Cross multiply
    5,205.15x = 7,803.91 × 1,918.30
  4. Step 4: Simplify right side
    5,205.15x = 14,970,240.55
  5. Step 5: Solve for x
    x = 14,970,240.55/5,205.15
  6. Step 6: Final answer
    x = 2,876.04

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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.