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Finding the Fourth Proportional to 5,274.71, 7,275.67 and 3,383.30

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Solution

The fourth proportional to 5,274.71, 7,275.67 and 3,383.30 is: 4,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.71 : 7,275.67 = 3,383.30 : x
  2. Step 2: Convert to fraction form
    5,274.71/7,275.67 = 3,383.30/x
  3. Step 3: Cross multiply
    5,274.71x = 7,275.67 × 3,383.30
  4. Step 4: Simplify right side
    5,274.71x = 24,615,739.81
  5. Step 5: Solve for x
    x = 24,615,739.81/5,274.71
  6. Step 6: Final answer
    x = 4,666.75

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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.