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Finding the Fourth Proportional to 3,590.94, 4,955.94 and 2,019

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Solution

The fourth proportional to 3,590.94, 4,955.94 and 2,019 is: 2,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.94 : 4,955.94 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,590.94/4,955.94 = 2,019/x
  3. Step 3: Cross multiply
    3,590.94x = 4,955.94 × 2,019
  4. Step 4: Simplify right side
    3,590.94x = 10,006,042.86
  5. Step 5: Solve for x
    x = 10,006,042.86/3,590.94
  6. Step 6: Final answer
    x = 2,786.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.