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Finding the Fourth Proportional to 3,890.76, 5,838.48 and 1,699.44

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Solution

The fourth proportional to 3,890.76, 5,838.48 and 1,699.44 is: 2,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.76 : 5,838.48 = 1,699.44 : x
  2. Step 2: Convert to fraction form
    3,890.76/5,838.48 = 1,699.44/x
  3. Step 3: Cross multiply
    3,890.76x = 5,838.48 × 1,699.44
  4. Step 4: Simplify right side
    3,890.76x = 9,922,146.45
  5. Step 5: Solve for x
    x = 9,922,146.45/3,890.76
  6. Step 6: Final answer
    x = 2,550.18

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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.