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Finding the Fourth Proportional to 5,895.83, 8,843.76 and 1,513.30

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Solution

The fourth proportional to 5,895.83, 8,843.76 and 1,513.30 is: 2,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.83 : 8,843.76 = 1,513.30 : x
  2. Step 2: Convert to fraction form
    5,895.83/8,843.76 = 1,513.30/x
  3. Step 3: Cross multiply
    5,895.83x = 8,843.76 × 1,513.30
  4. Step 4: Simplify right side
    5,895.83x = 13,383,210.22
  5. Step 5: Solve for x
    x = 13,383,210.22/5,895.83
  6. Step 6: Final answer
    x = 2,269.95

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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.