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Finding the Fourth Proportional to 5,361.96, 8,045.64 and 3,024.57

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Solution

The fourth proportional to 5,361.96, 8,045.64 and 3,024.57 is: 4,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.96 : 8,045.64 = 3,024.57 : x
  2. Step 2: Convert to fraction form
    5,361.96/8,045.64 = 3,024.57/x
  3. Step 3: Cross multiply
    5,361.96x = 8,045.64 × 3,024.57
  4. Step 4: Simplify right side
    5,361.96x = 24,334,601.37
  5. Step 5: Solve for x
    x = 24,334,601.37/5,361.96
  6. Step 6: Final answer
    x = 4,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.