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Finding the Fourth Proportional to 4,361.69, 6,546.05 and 2,024.30

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Solution

The fourth proportional to 4,361.69, 6,546.05 and 2,024.30 is: 3,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.69 : 6,546.05 = 2,024.30 : x
  2. Step 2: Convert to fraction form
    4,361.69/6,546.05 = 2,024.30/x
  3. Step 3: Cross multiply
    4,361.69x = 6,546.05 × 2,024.30
  4. Step 4: Simplify right side
    4,361.69x = 13,251,169.02
  5. Step 5: Solve for x
    x = 13,251,169.02/4,361.69
  6. Step 6: Final answer
    x = 3,038.08

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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.