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Finding the Fourth Proportional to 5,323.52, 7,346.60 and 2,965.66

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Solution

The fourth proportional to 5,323.52, 7,346.60 and 2,965.66 is: 4,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.52 : 7,346.60 = 2,965.66 : x
  2. Step 2: Convert to fraction form
    5,323.52/7,346.60 = 2,965.66/x
  3. Step 3: Cross multiply
    5,323.52x = 7,346.60 × 2,965.66
  4. Step 4: Simplify right side
    5,323.52x = 21,787,539.91
  5. Step 5: Solve for x
    x = 21,787,539.91/5,323.52
  6. Step 6: Final answer
    x = 4,092.69

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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.