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Finding the Fourth Proportional to 4,872.48, 7,307.64 and 2,274

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Solution

The fourth proportional to 4,872.48, 7,307.64 and 2,274 is: 3,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.48 : 7,307.64 = 2,274 : x
  2. Step 2: Convert to fraction form
    4,872.48/7,307.64 = 2,274/x
  3. Step 3: Cross multiply
    4,872.48x = 7,307.64 × 2,274
  4. Step 4: Simplify right side
    4,872.48x = 16,617,573.36
  5. Step 5: Solve for x
    x = 16,617,573.36/4,872.48
  6. Step 6: Final answer
    x = 3,410.50

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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.