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Finding the Fourth Proportional to 5,323.82, 7,346.59 and 2,965.81

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Solution

The fourth proportional to 5,323.82, 7,346.59 and 2,965.81 is: 4,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.82 : 7,346.59 = 2,965.81 : x
  2. Step 2: Convert to fraction form
    5,323.82/7,346.59 = 2,965.81/x
  3. Step 3: Cross multiply
    5,323.82x = 7,346.59 × 2,965.81
  4. Step 4: Simplify right side
    5,323.82x = 21,788,590.09
  5. Step 5: Solve for x
    x = 21,788,590.09/5,323.82
  6. Step 6: Final answer
    x = 4,092.66

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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.