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Finding the Fourth Proportional to 4,650.39, 6,410.14 and 3,653.95

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Solution

The fourth proportional to 4,650.39, 6,410.14 and 3,653.95 is: 5,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.39 : 6,410.14 = 3,653.95 : x
  2. Step 2: Convert to fraction form
    4,650.39/6,410.14 = 3,653.95/x
  3. Step 3: Cross multiply
    4,650.39x = 6,410.14 × 3,653.95
  4. Step 4: Simplify right side
    4,650.39x = 23,422,331.05
  5. Step 5: Solve for x
    x = 23,422,331.05/4,650.39
  6. Step 6: Final answer
    x = 5,036.64

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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.