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Finding the Fourth Proportional to 3,498.36, 5,268.37 and 3,155.64

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Solution

The fourth proportional to 3,498.36, 5,268.37 and 3,155.64 is: 4,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.36 : 5,268.37 = 3,155.64 : x
  2. Step 2: Convert to fraction form
    3,498.36/5,268.37 = 3,155.64/x
  3. Step 3: Cross multiply
    3,498.36x = 5,268.37 × 3,155.64
  4. Step 4: Simplify right side
    3,498.36x = 16,625,079.11
  5. Step 5: Solve for x
    x = 16,625,079.11/3,498.36
  6. Step 6: Final answer
    x = 4,752.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.