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Finding the Fourth Proportional to 5,651.57, 8,477.36 and 3,188.46

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Solution

The fourth proportional to 5,651.57, 8,477.36 and 3,188.46 is: 4,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.57 : 8,477.36 = 3,188.46 : x
  2. Step 2: Convert to fraction form
    5,651.57/8,477.36 = 3,188.46/x
  3. Step 3: Cross multiply
    5,651.57x = 8,477.36 × 3,188.46
  4. Step 4: Simplify right side
    5,651.57x = 27,029,751.07
  5. Step 5: Solve for x
    x = 27,029,751.07/5,651.57
  6. Step 6: Final answer
    x = 4,782.70

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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.