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Finding the Fourth Proportional to 4,643.42, 6,408.86 and 3,151.82

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Solution

The fourth proportional to 4,643.42, 6,408.86 and 3,151.82 is: 4,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.42 : 6,408.86 = 3,151.82 : x
  2. Step 2: Convert to fraction form
    4,643.42/6,408.86 = 3,151.82/x
  3. Step 3: Cross multiply
    4,643.42x = 6,408.86 × 3,151.82
  4. Step 4: Simplify right side
    4,643.42x = 20,199,564.98
  5. Step 5: Solve for x
    x = 20,199,564.98/4,643.42
  6. Step 6: Final answer
    x = 4,350.15

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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.