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Finding the Fourth Proportional to 5,114.58, 7,078.41 and 4,991.91

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Solution

The fourth proportional to 5,114.58, 7,078.41 and 4,991.91 is: 6,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.58 : 7,078.41 = 4,991.91 : x
  2. Step 2: Convert to fraction form
    5,114.58/7,078.41 = 4,991.91/x
  3. Step 3: Cross multiply
    5,114.58x = 7,078.41 × 4,991.91
  4. Step 4: Simplify right side
    5,114.58x = 35,334,785.66
  5. Step 5: Solve for x
    x = 35,334,785.66/5,114.58
  6. Step 6: Final answer
    x = 6,908.64

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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.