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Finding the Fourth Proportional to 5,983.51, 8,246.01 and 4,302

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Solution

The fourth proportional to 5,983.51, 8,246.01 and 4,302 is: 5,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.51 : 8,246.01 = 4,302 : x
  2. Step 2: Convert to fraction form
    5,983.51/8,246.01 = 4,302/x
  3. Step 3: Cross multiply
    5,983.51x = 8,246.01 × 4,302
  4. Step 4: Simplify right side
    5,983.51x = 35,474,335.02
  5. Step 5: Solve for x
    x = 35,474,335.02/5,983.51
  6. Step 6: Final answer
    x = 5,928.68

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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.