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Finding the Fourth Proportional to 3,590.89, 4,955.70 and 2,019.22

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Solution

The fourth proportional to 3,590.89, 4,955.70 and 2,019.22 is: 2,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.89 : 4,955.70 = 2,019.22 : x
  2. Step 2: Convert to fraction form
    3,590.89/4,955.70 = 2,019.22/x
  3. Step 3: Cross multiply
    3,590.89x = 4,955.70 × 2,019.22
  4. Step 4: Simplify right side
    3,590.89x = 10,006,648.55
  5. Step 5: Solve for x
    x = 10,006,648.55/3,590.89
  6. Step 6: Final answer
    x = 2,786.68

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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.