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Finding the Fourth Proportional to 4,364.73, 6,541.74 and 2,021.55

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Solution

The fourth proportional to 4,364.73, 6,541.74 and 2,021.55 is: 3,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.73 : 6,541.74 = 2,021.55 : x
  2. Step 2: Convert to fraction form
    4,364.73/6,541.74 = 2,021.55/x
  3. Step 3: Cross multiply
    4,364.73x = 6,541.74 × 2,021.55
  4. Step 4: Simplify right side
    4,364.73x = 13,224,454.50
  5. Step 5: Solve for x
    x = 13,224,454.50/4,364.73
  6. Step 6: Final answer
    x = 3,029.84

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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.