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Finding the Fourth Proportional to 4,974.15, 7,461.21 and 2,376.48

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Solution

The fourth proportional to 4,974.15, 7,461.21 and 2,376.48 is: 3,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.15 : 7,461.21 = 2,376.48 : x
  2. Step 2: Convert to fraction form
    4,974.15/7,461.21 = 2,376.48/x
  3. Step 3: Cross multiply
    4,974.15x = 7,461.21 × 2,376.48
  4. Step 4: Simplify right side
    4,974.15x = 17,731,416.34
  5. Step 5: Solve for x
    x = 17,731,416.34/4,974.15
  6. Step 6: Final answer
    x = 3,564.71

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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.