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Finding the Fourth Proportional to 3,494.36, 5,262.35 and 3,151.64

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Solution

The fourth proportional to 3,494.36, 5,262.35 and 3,151.64 is: 4,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.36 : 5,262.35 = 3,151.64 : x
  2. Step 2: Convert to fraction form
    3,494.36/5,262.35 = 3,151.64/x
  3. Step 3: Cross multiply
    3,494.36x = 5,262.35 × 3,151.64
  4. Step 4: Simplify right side
    3,494.36x = 16,585,032.75
  5. Step 5: Solve for x
    x = 16,585,032.75/3,494.36
  6. Step 6: Final answer
    x = 4,746.23

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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.