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Finding the Fourth Proportional to 4,094.46, 5,644.62 and 3,462.45

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Solution

The fourth proportional to 4,094.46, 5,644.62 and 3,462.45 is: 4,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.46 : 5,644.62 = 3,462.45 : x
  2. Step 2: Convert to fraction form
    4,094.46/5,644.62 = 3,462.45/x
  3. Step 3: Cross multiply
    4,094.46x = 5,644.62 × 3,462.45
  4. Step 4: Simplify right side
    4,094.46x = 19,544,214.52
  5. Step 5: Solve for x
    x = 19,544,214.52/4,094.46
  6. Step 6: Final answer
    x = 4,773.33

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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.