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Finding the Fourth Proportional to 6,290.80, 8,681.48 and 3,458.26

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Solution

The fourth proportional to 6,290.80, 8,681.48 and 3,458.26 is: 4,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.80 : 8,681.48 = 3,458.26 : x
  2. Step 2: Convert to fraction form
    6,290.80/8,681.48 = 3,458.26/x
  3. Step 3: Cross multiply
    6,290.80x = 8,681.48 × 3,458.26
  4. Step 4: Simplify right side
    6,290.80x = 30,022,815.02
  5. Step 5: Solve for x
    x = 30,022,815.02/6,290.80
  6. Step 6: Final answer
    x = 4,772.50

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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.