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Finding the Fourth Proportional to 4,884.84, 7,328.48 and 1,966.41

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Solution

The fourth proportional to 4,884.84, 7,328.48 and 1,966.41 is: 2,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.84 : 7,328.48 = 1,966.41 : x
  2. Step 2: Convert to fraction form
    4,884.84/7,328.48 = 1,966.41/x
  3. Step 3: Cross multiply
    4,884.84x = 7,328.48 × 1,966.41
  4. Step 4: Simplify right side
    4,884.84x = 14,410,786.52
  5. Step 5: Solve for x
    x = 14,410,786.52/4,884.84
  6. Step 6: Final answer
    x = 2,950.10

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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.