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Finding the Fourth Proportional to 5,461.65, 8,191.85 and 1,513.20

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Solution

The fourth proportional to 5,461.65, 8,191.85 and 1,513.20 is: 2,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.65 : 8,191.85 = 1,513.20 : x
  2. Step 2: Convert to fraction form
    5,461.65/8,191.85 = 1,513.20/x
  3. Step 3: Cross multiply
    5,461.65x = 8,191.85 × 1,513.20
  4. Step 4: Simplify right side
    5,461.65x = 12,395,899.85
  5. Step 5: Solve for x
    x = 12,395,899.85/5,461.65
  6. Step 6: Final answer
    x = 2,269.63

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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.