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Finding the Fourth Proportional to 4,352.40, 6,517 and 2,968.44

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Solution

The fourth proportional to 4,352.40, 6,517 and 2,968.44 is: 4,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.40 : 6,517 = 2,968.44 : x
  2. Step 2: Convert to fraction form
    4,352.40/6,517 = 2,968.44/x
  3. Step 3: Cross multiply
    4,352.40x = 6,517 × 2,968.44
  4. Step 4: Simplify right side
    4,352.40x = 19,345,323.48
  5. Step 5: Solve for x
    x = 19,345,323.48/4,352.40
  6. Step 6: Final answer
    x = 4,444.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.