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Finding the Fourth Proportional to 5,053.88, 6,974.96 and 2,958

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Solution

The fourth proportional to 5,053.88, 6,974.96 and 2,958 is: 4,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.88 : 6,974.96 = 2,958 : x
  2. Step 2: Convert to fraction form
    5,053.88/6,974.96 = 2,958/x
  3. Step 3: Cross multiply
    5,053.88x = 6,974.96 × 2,958
  4. Step 4: Simplify right side
    5,053.88x = 20,631,916.89
  5. Step 5: Solve for x
    x = 20,631,916.89/5,053.88
  6. Step 6: Final answer
    x = 4,082.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.