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Finding the Fourth Proportional to 4,960.86, 6,842.91 and 4,296.57

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Solution

The fourth proportional to 4,960.86, 6,842.91 and 4,296.57 is: 5,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.86 : 6,842.91 = 4,296.57 : x
  2. Step 2: Convert to fraction form
    4,960.86/6,842.91 = 4,296.57/x
  3. Step 3: Cross multiply
    4,960.86x = 6,842.91 × 4,296.57
  4. Step 4: Simplify right side
    4,960.86x = 29,401,041.82
  5. Step 5: Solve for x
    x = 29,401,041.82/4,960.86
  6. Step 6: Final answer
    x = 5,926.60

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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.