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Finding the Fourth Proportional to 4,672.80, 7,004.40 and 2,589.60

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Solution

The fourth proportional to 4,672.80, 7,004.40 and 2,589.60 is: 3,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.80 : 7,004.40 = 2,589.60 : x
  2. Step 2: Convert to fraction form
    4,672.80/7,004.40 = 2,589.60/x
  3. Step 3: Cross multiply
    4,672.80x = 7,004.40 × 2,589.60
  4. Step 4: Simplify right side
    4,672.80x = 18,138,594.24
  5. Step 5: Solve for x
    x = 18,138,594.24/4,672.80
  6. Step 6: Final answer
    x = 3,881.74

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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.