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Finding the Fourth Proportional to 4,630.53, 6,942.72 and 2,551.53

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Solution

The fourth proportional to 4,630.53, 6,942.72 and 2,551.53 is: 3,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.53 : 6,942.72 = 2,551.53 : x
  2. Step 2: Convert to fraction form
    4,630.53/6,942.72 = 2,551.53/x
  3. Step 3: Cross multiply
    4,630.53x = 6,942.72 × 2,551.53
  4. Step 4: Simplify right side
    4,630.53x = 17,714,510.89
  5. Step 5: Solve for x
    x = 17,714,510.89/4,630.53
  6. Step 6: Final answer
    x = 3,825.59

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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.