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Finding the Fourth Proportional to 3,890.69, 5,836.37 and 1,117.59

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Solution

The fourth proportional to 3,890.69, 5,836.37 and 1,117.59 is: 1,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.69 : 5,836.37 = 1,117.59 : x
  2. Step 2: Convert to fraction form
    3,890.69/5,836.37 = 1,117.59/x
  3. Step 3: Cross multiply
    3,890.69x = 5,836.37 × 1,117.59
  4. Step 4: Simplify right side
    3,890.69x = 6,522,663.16
  5. Step 5: Solve for x
    x = 6,522,663.16/3,890.69
  6. Step 6: Final answer
    x = 1,676.48

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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.