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Finding the Fourth Proportional to 3,410.01, 5,116.23 and 1,765.53

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Solution

The fourth proportional to 3,410.01, 5,116.23 and 1,765.53 is: 2,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.01 : 5,116.23 = 1,765.53 : x
  2. Step 2: Convert to fraction form
    3,410.01/5,116.23 = 1,765.53/x
  3. Step 3: Cross multiply
    3,410.01x = 5,116.23 × 1,765.53
  4. Step 4: Simplify right side
    3,410.01x = 9,032,857.55
  5. Step 5: Solve for x
    x = 9,032,857.55/3,410.01
  6. Step 6: Final answer
    x = 2,648.92

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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.