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Finding the Fourth Proportional to 6,408.16, 8,842.96 and 3,575.84

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Solution

The fourth proportional to 6,408.16, 8,842.96 and 3,575.84 is: 4,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.16 : 8,842.96 = 3,575.84 : x
  2. Step 2: Convert to fraction form
    6,408.16/8,842.96 = 3,575.84/x
  3. Step 3: Cross multiply
    6,408.16x = 8,842.96 × 3,575.84
  4. Step 4: Simplify right side
    6,408.16x = 31,621,010.09
  5. Step 5: Solve for x
    x = 31,621,010.09/6,408.16
  6. Step 6: Final answer
    x = 4,934.49

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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.