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Finding the Fourth Proportional to 4,958.45, 6,838.71 and 4,214.87

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Solution

The fourth proportional to 4,958.45, 6,838.71 and 4,214.87 is: 5,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.45 : 6,838.71 = 4,214.87 : x
  2. Step 2: Convert to fraction form
    4,958.45/6,838.71 = 4,214.87/x
  3. Step 3: Cross multiply
    4,958.45x = 6,838.71 × 4,214.87
  4. Step 4: Simplify right side
    4,958.45x = 28,824,239.42
  5. Step 5: Solve for x
    x = 28,824,239.42/4,958.45
  6. Step 6: Final answer
    x = 5,813.16

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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.