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Finding the Fourth Proportional to 4,686, 6,466.12 and 2,589.84

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Solution

The fourth proportional to 4,686, 6,466.12 and 2,589.84 is: 3,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 6,466.12 = 2,589.84 : x
  2. Step 2: Convert to fraction form
    4,686/6,466.12 = 2,589.84/x
  3. Step 3: Cross multiply
    4,686x = 6,466.12 × 2,589.84
  4. Step 4: Simplify right side
    4,686x = 16,746,216.22
  5. Step 5: Solve for x
    x = 16,746,216.22/4,686
  6. Step 6: Final answer
    x = 3,573.67

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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.