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Finding the Fourth Proportional to 3,435.99, 5,153.57 and 1,462.42

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Solution

The fourth proportional to 3,435.99, 5,153.57 and 1,462.42 is: 2,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.99 : 5,153.57 = 1,462.42 : x
  2. Step 2: Convert to fraction form
    3,435.99/5,153.57 = 1,462.42/x
  3. Step 3: Cross multiply
    3,435.99x = 5,153.57 × 1,462.42
  4. Step 4: Simplify right side
    3,435.99x = 7,536,650.76
  5. Step 5: Solve for x
    x = 7,536,650.76/3,435.99
  6. Step 6: Final answer
    x = 2,193.44

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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.