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Finding the Fourth Proportional to 4,078.78, 6,124.80 and 3,775.60

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Solution

The fourth proportional to 4,078.78, 6,124.80 and 3,775.60 is: 5,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.78 : 6,124.80 = 3,775.60 : x
  2. Step 2: Convert to fraction form
    4,078.78/6,124.80 = 3,775.60/x
  3. Step 3: Cross multiply
    4,078.78x = 6,124.80 × 3,775.60
  4. Step 4: Simplify right side
    4,078.78x = 23,124,794.88
  5. Step 5: Solve for x
    x = 23,124,794.88/4,078.78
  6. Step 6: Final answer
    x = 5,669.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.