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Finding the Fourth Proportional to 5,323.82, 7,347.60 and 3,086.40

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Solution

The fourth proportional to 5,323.82, 7,347.60 and 3,086.40 is: 4,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.82 : 7,347.60 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    5,323.82/7,347.60 = 3,086.40/x
  3. Step 3: Cross multiply
    5,323.82x = 7,347.60 × 3,086.40
  4. Step 4: Simplify right side
    5,323.82x = 22,677,632.64
  5. Step 5: Solve for x
    x = 22,677,632.64/5,323.82
  6. Step 6: Final answer
    x = 4,259.65

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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.