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Finding the Fourth Proportional to 3,659.07, 5,484.65 and 1,466.67

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Solution

The fourth proportional to 3,659.07, 5,484.65 and 1,466.67 is: 2,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.07 : 5,484.65 = 1,466.67 : x
  2. Step 2: Convert to fraction form
    3,659.07/5,484.65 = 1,466.67/x
  3. Step 3: Cross multiply
    3,659.07x = 5,484.65 × 1,466.67
  4. Step 4: Simplify right side
    3,659.07x = 8,044,164.28
  5. Step 5: Solve for x
    x = 8,044,164.28/3,659.07
  6. Step 6: Final answer
    x = 2,198.42

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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.