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Finding the Fourth Proportional to 3,461.03, 5,192.54 and 1,613.24

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Solution

The fourth proportional to 3,461.03, 5,192.54 and 1,613.24 is: 2,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.03 : 5,192.54 = 1,613.24 : x
  2. Step 2: Convert to fraction form
    3,461.03/5,192.54 = 1,613.24/x
  3. Step 3: Cross multiply
    3,461.03x = 5,192.54 × 1,613.24
  4. Step 4: Simplify right side
    3,461.03x = 8,376,813.23
  5. Step 5: Solve for x
    x = 8,376,813.23/3,461.03
  6. Step 6: Final answer
    x = 2,420.32

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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.