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Finding the Fourth Proportional to 4,246, 6,339.14 and 3,629.92

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Solution

The fourth proportional to 4,246, 6,339.14 and 3,629.92 is: 5,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246 : 6,339.14 = 3,629.92 : x
  2. Step 2: Convert to fraction form
    4,246/6,339.14 = 3,629.92/x
  3. Step 3: Cross multiply
    4,246x = 6,339.14 × 3,629.92
  4. Step 4: Simplify right side
    4,246x = 23,010,571.07
  5. Step 5: Solve for x
    x = 23,010,571.07/4,246
  6. Step 6: Final answer
    x = 5,419.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.