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Finding the Fourth Proportional to 5,349.66, 7,380.04 and 3,461.85

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Solution

The fourth proportional to 5,349.66, 7,380.04 and 3,461.85 is: 4,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.66 : 7,380.04 = 3,461.85 : x
  2. Step 2: Convert to fraction form
    5,349.66/7,380.04 = 3,461.85/x
  3. Step 3: Cross multiply
    5,349.66x = 7,380.04 × 3,461.85
  4. Step 4: Simplify right side
    5,349.66x = 25,548,555.14
  5. Step 5: Solve for x
    x = 25,548,555.14/5,349.66
  6. Step 6: Final answer
    x = 4,775.74

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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.