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Finding the Fourth Proportional to 3,590.83, 5,376.21 and 1,941.46

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Solution

The fourth proportional to 3,590.83, 5,376.21 and 1,941.46 is: 2,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.83 : 5,376.21 = 1,941.46 : x
  2. Step 2: Convert to fraction form
    3,590.83/5,376.21 = 1,941.46/x
  3. Step 3: Cross multiply
    3,590.83x = 5,376.21 × 1,941.46
  4. Step 4: Simplify right side
    3,590.83x = 10,437,696.67
  5. Step 5: Solve for x
    x = 10,437,696.67/3,590.83
  6. Step 6: Final answer
    x = 2,906.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.