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Finding the Fourth Proportional to 5,198.14, 7,778.10 and 4,916.68

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Solution

The fourth proportional to 5,198.14, 7,778.10 and 4,916.68 is: 7,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.14 : 7,778.10 = 4,916.68 : x
  2. Step 2: Convert to fraction form
    5,198.14/7,778.10 = 4,916.68/x
  3. Step 3: Cross multiply
    5,198.14x = 7,778.10 × 4,916.68
  4. Step 4: Simplify right side
    5,198.14x = 38,242,428.71
  5. Step 5: Solve for x
    x = 38,242,428.71/5,198.14
  6. Step 6: Final answer
    x = 7,356.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.