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Finding the Fourth Proportional to 4,077, 6,117.12 and 1,480.14

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Solution

The fourth proportional to 4,077, 6,117.12 and 1,480.14 is: 2,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 6,117.12 = 1,480.14 : x
  2. Step 2: Convert to fraction form
    4,077/6,117.12 = 1,480.14/x
  3. Step 3: Cross multiply
    4,077x = 6,117.12 × 1,480.14
  4. Step 4: Simplify right side
    4,077x = 9,054,194.00
  5. Step 5: Solve for x
    x = 9,054,194.00/4,077
  6. Step 6: Final answer
    x = 2,220.80

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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.