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Finding the Fourth Proportional to 3,580.74, 5,369.09 and 1,114.83

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Solution

The fourth proportional to 3,580.74, 5,369.09 and 1,114.83 is: 1,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.74 : 5,369.09 = 1,114.83 : x
  2. Step 2: Convert to fraction form
    3,580.74/5,369.09 = 1,114.83/x
  3. Step 3: Cross multiply
    3,580.74x = 5,369.09 × 1,114.83
  4. Step 4: Simplify right side
    3,580.74x = 5,985,617.03
  5. Step 5: Solve for x
    x = 5,985,617.03/3,580.74
  6. Step 6: Final answer
    x = 1,671.61

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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.