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Finding the Fourth Proportional to 5,383.76, 7,429.98 and 3,288.28

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Solution

The fourth proportional to 5,383.76, 7,429.98 and 3,288.28 is: 4,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.76 : 7,429.98 = 3,288.28 : x
  2. Step 2: Convert to fraction form
    5,383.76/7,429.98 = 3,288.28/x
  3. Step 3: Cross multiply
    5,383.76x = 7,429.98 × 3,288.28
  4. Step 4: Simplify right side
    5,383.76x = 24,431,854.63
  5. Step 5: Solve for x
    x = 24,431,854.63/5,383.76
  6. Step 6: Final answer
    x = 4,538.07

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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.