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Finding the Fourth Proportional to 5,149.36, 7,106.16 and 3,054.88

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Solution

The fourth proportional to 5,149.36, 7,106.16 and 3,054.88 is: 4,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.36 : 7,106.16 = 3,054.88 : x
  2. Step 2: Convert to fraction form
    5,149.36/7,106.16 = 3,054.88/x
  3. Step 3: Cross multiply
    5,149.36x = 7,106.16 × 3,054.88
  4. Step 4: Simplify right side
    5,149.36x = 21,708,466.06
  5. Step 5: Solve for x
    x = 21,708,466.06/5,149.36
  6. Step 6: Final answer
    x = 4,215.76

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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.