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Finding the Fourth Proportional to 6,408.14, 8,842.83 and 3,575.93

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Solution

The fourth proportional to 6,408.14, 8,842.83 and 3,575.93 is: 4,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.14 : 8,842.83 = 3,575.93 : x
  2. Step 2: Convert to fraction form
    6,408.14/8,842.83 = 3,575.93/x
  3. Step 3: Cross multiply
    6,408.14x = 8,842.83 × 3,575.93
  4. Step 4: Simplify right side
    6,408.14x = 31,621,341.08
  5. Step 5: Solve for x
    x = 31,621,341.08/6,408.14
  6. Step 6: Final answer
    x = 4,934.56

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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.