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Finding the Fourth Proportional to 4,974.36, 7,463.16 and 2,377.50

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Solution

The fourth proportional to 4,974.36, 7,463.16 and 2,377.50 is: 3,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.36 : 7,463.16 = 2,377.50 : x
  2. Step 2: Convert to fraction form
    4,974.36/7,463.16 = 2,377.50/x
  3. Step 3: Cross multiply
    4,974.36x = 7,463.16 × 2,377.50
  4. Step 4: Simplify right side
    4,974.36x = 17,743,662.90
  5. Step 5: Solve for x
    x = 17,743,662.90/4,974.36
  6. Step 6: Final answer
    x = 3,567.02

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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.