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Finding the Fourth Proportional to 3,698.80, 5,548.47 and 1,165.67

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Solution

The fourth proportional to 3,698.80, 5,548.47 and 1,165.67 is: 1,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.80 : 5,548.47 = 1,165.67 : x
  2. Step 2: Convert to fraction form
    3,698.80/5,548.47 = 1,165.67/x
  3. Step 3: Cross multiply
    3,698.80x = 5,548.47 × 1,165.67
  4. Step 4: Simplify right side
    3,698.80x = 6,467,685.02
  5. Step 5: Solve for x
    x = 6,467,685.02/3,698.80
  6. Step 6: Final answer
    x = 1,748.59

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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.