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Finding the Fourth Proportional to 4,454, 6,144.60 and 2,775.92

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Solution

The fourth proportional to 4,454, 6,144.60 and 2,775.92 is: 3,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454 : 6,144.60 = 2,775.92 : x
  2. Step 2: Convert to fraction form
    4,454/6,144.60 = 2,775.92/x
  3. Step 3: Cross multiply
    4,454x = 6,144.60 × 2,775.92
  4. Step 4: Simplify right side
    4,454x = 17,056,918.03
  5. Step 5: Solve for x
    x = 17,056,918.03/4,454
  6. Step 6: Final answer
    x = 3,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.