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Finding the Fourth Proportional to 3,610.17, 5,410.40 and 1,658.07

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Solution

The fourth proportional to 3,610.17, 5,410.40 and 1,658.07 is: 2,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.17 : 5,410.40 = 1,658.07 : x
  2. Step 2: Convert to fraction form
    3,610.17/5,410.40 = 1,658.07/x
  3. Step 3: Cross multiply
    3,610.17x = 5,410.40 × 1,658.07
  4. Step 4: Simplify right side
    3,610.17x = 8,970,813.64
  5. Step 5: Solve for x
    x = 8,970,813.64/3,610.17
  6. Step 6: Final answer
    x = 2,484.87

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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.