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Finding the Fourth Proportional to 3,089.36, 4,633.92 and 1,140.80

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Solution

The fourth proportional to 3,089.36, 4,633.92 and 1,140.80 is: 1,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.36 : 4,633.92 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    3,089.36/4,633.92 = 1,140.80/x
  3. Step 3: Cross multiply
    3,089.36x = 4,633.92 × 1,140.80
  4. Step 4: Simplify right side
    3,089.36x = 5,286,375.94
  5. Step 5: Solve for x
    x = 5,286,375.94/3,089.36
  6. Step 6: Final answer
    x = 1,711.16

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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.