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Finding the Fourth Proportional to 3,890.69, 5,835.32 and 1,292.93

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Solution

The fourth proportional to 3,890.69, 5,835.32 and 1,292.93 is: 1,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.69 : 5,835.32 = 1,292.93 : x
  2. Step 2: Convert to fraction form
    3,890.69/5,835.32 = 1,292.93/x
  3. Step 3: Cross multiply
    3,890.69x = 5,835.32 × 1,292.93
  4. Step 4: Simplify right side
    3,890.69x = 7,544,653.82
  5. Step 5: Solve for x
    x = 7,544,653.82/3,890.69
  6. Step 6: Final answer
    x = 1,939.16

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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.