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Finding the Fourth Proportional to 5,211.53, 7,820.03 and 3,024.53

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Solution

The fourth proportional to 5,211.53, 7,820.03 and 3,024.53 is: 4,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.53 : 7,820.03 = 3,024.53 : x
  2. Step 2: Convert to fraction form
    5,211.53/7,820.03 = 3,024.53/x
  3. Step 3: Cross multiply
    5,211.53x = 7,820.03 × 3,024.53
  4. Step 4: Simplify right side
    5,211.53x = 23,651,915.34
  5. Step 5: Solve for x
    x = 23,651,915.34/5,211.53
  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.