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Finding the Fourth Proportional to 5,731.63, 8,558.23 and 5,134.80

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Solution

The fourth proportional to 5,731.63, 8,558.23 and 5,134.80 is: 7,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.63 : 8,558.23 = 5,134.80 : x
  2. Step 2: Convert to fraction form
    5,731.63/8,558.23 = 5,134.80/x
  3. Step 3: Cross multiply
    5,731.63x = 8,558.23 × 5,134.80
  4. Step 4: Simplify right side
    5,731.63x = 43,944,799.40
  5. Step 5: Solve for x
    x = 43,944,799.40/5,731.63
  6. Step 6: Final answer
    x = 7,667.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.