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Finding the Fourth Proportional to 3,590.80, 4,960.68 and 2,842.36

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Solution

The fourth proportional to 3,590.80, 4,960.68 and 2,842.36 is: 3,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.80 : 4,960.68 = 2,842.36 : x
  2. Step 2: Convert to fraction form
    3,590.80/4,960.68 = 2,842.36/x
  3. Step 3: Cross multiply
    3,590.80x = 4,960.68 × 2,842.36
  4. Step 4: Simplify right side
    3,590.80x = 14,100,038.40
  5. Step 5: Solve for x
    x = 14,100,038.40/3,590.80
  6. Step 6: Final answer
    x = 3,926.71

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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.