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Finding the Fourth Proportional to 3,467.88, 4,784.22 and 2,420.55

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Solution

The fourth proportional to 3,467.88, 4,784.22 and 2,420.55 is: 3,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.88 : 4,784.22 = 2,420.55 : x
  2. Step 2: Convert to fraction form
    3,467.88/4,784.22 = 2,420.55/x
  3. Step 3: Cross multiply
    3,467.88x = 4,784.22 × 2,420.55
  4. Step 4: Simplify right side
    3,467.88x = 11,580,443.72
  5. Step 5: Solve for x
    x = 11,580,443.72/3,467.88
  6. Step 6: Final answer
    x = 3,339.34

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