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Finding the Fourth Proportional to 5,309.15, 7,323.41 and 4,115.21

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Solution

The fourth proportional to 5,309.15, 7,323.41 and 4,115.21 is: 5,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.15 : 7,323.41 = 4,115.21 : x
  2. Step 2: Convert to fraction form
    5,309.15/7,323.41 = 4,115.21/x
  3. Step 3: Cross multiply
    5,309.15x = 7,323.41 × 4,115.21
  4. Step 4: Simplify right side
    5,309.15x = 30,137,343.74
  5. Step 5: Solve for x
    x = 30,137,343.74/5,309.15
  6. Step 6: Final answer
    x = 5,676.50

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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.