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Finding the Fourth Proportional to 5,338.46, 8,009.40 and 2,415.98

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Solution

The fourth proportional to 5,338.46, 8,009.40 and 2,415.98 is: 3,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.46 : 8,009.40 = 2,415.98 : x
  2. Step 2: Convert to fraction form
    5,338.46/8,009.40 = 2,415.98/x
  3. Step 3: Cross multiply
    5,338.46x = 8,009.40 × 2,415.98
  4. Step 4: Simplify right side
    5,338.46x = 19,350,550.21
  5. Step 5: Solve for x
    x = 19,350,550.21/5,338.46
  6. Step 6: Final answer
    x = 3,624.74

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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.