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Finding the Fourth Proportional to 4,967.59, 6,858.28 and 3,290.43

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Solution

The fourth proportional to 4,967.59, 6,858.28 and 3,290.43 is: 4,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.59 : 6,858.28 = 3,290.43 : x
  2. Step 2: Convert to fraction form
    4,967.59/6,858.28 = 3,290.43/x
  3. Step 3: Cross multiply
    4,967.59x = 6,858.28 × 3,290.43
  4. Step 4: Simplify right side
    4,967.59x = 22,566,682.03
  5. Step 5: Solve for x
    x = 22,566,682.03/4,967.59
  6. Step 6: Final answer
    x = 4,542.79

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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.