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Finding the Fourth Proportional to 4,179, 6,261.48 and 3,077.40

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Solution

The fourth proportional to 4,179, 6,261.48 and 3,077.40 is: 4,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179 : 6,261.48 = 3,077.40 : x
  2. Step 2: Convert to fraction form
    4,179/6,261.48 = 3,077.40/x
  3. Step 3: Cross multiply
    4,179x = 6,261.48 × 3,077.40
  4. Step 4: Simplify right side
    4,179x = 19,269,078.55
  5. Step 5: Solve for x
    x = 19,269,078.55/4,179
  6. Step 6: Final answer
    x = 4,610.93

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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.