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Finding the Fourth Proportional to 4,415.82, 6,093.82 and 2,426.50

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Solution

The fourth proportional to 4,415.82, 6,093.82 and 2,426.50 is: 3,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.82 : 6,093.82 = 2,426.50 : x
  2. Step 2: Convert to fraction form
    4,415.82/6,093.82 = 2,426.50/x
  3. Step 3: Cross multiply
    4,415.82x = 6,093.82 × 2,426.50
  4. Step 4: Simplify right side
    4,415.82x = 14,786,663.14
  5. Step 5: Solve for x
    x = 14,786,663.14/4,415.82
  6. Step 6: Final answer
    x = 3,348.57

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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.