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Finding the Fourth Proportional to 5,738.27, 8,595.54 and 5,323.05

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Solution

The fourth proportional to 5,738.27, 8,595.54 and 5,323.05 is: 7,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.27 : 8,595.54 = 5,323.05 : x
  2. Step 2: Convert to fraction form
    5,738.27/8,595.54 = 5,323.05/x
  3. Step 3: Cross multiply
    5,738.27x = 8,595.54 × 5,323.05
  4. Step 4: Simplify right side
    5,738.27x = 45,754,489.20
  5. Step 5: Solve for x
    x = 45,754,489.20/5,738.27
  6. Step 6: Final answer
    x = 7,973.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.