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Finding the Fourth Proportional to 4,589.60, 6,884.17 and 1,302.27

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Solution

The fourth proportional to 4,589.60, 6,884.17 and 1,302.27 is: 1,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.60 : 6,884.17 = 1,302.27 : x
  2. Step 2: Convert to fraction form
    4,589.60/6,884.17 = 1,302.27/x
  3. Step 3: Cross multiply
    4,589.60x = 6,884.17 × 1,302.27
  4. Step 4: Simplify right side
    4,589.60x = 8,965,048.07
  5. Step 5: Solve for x
    x = 8,965,048.07/4,589.60
  6. Step 6: Final answer
    x = 1,953.34

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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.