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Finding the Fourth Proportional to 4,900.50, 7,352.37 and 1,977.21

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Solution

The fourth proportional to 4,900.50, 7,352.37 and 1,977.21 is: 2,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.50 : 7,352.37 = 1,977.21 : x
  2. Step 2: Convert to fraction form
    4,900.50/7,352.37 = 1,977.21/x
  3. Step 3: Cross multiply
    4,900.50x = 7,352.37 × 1,977.21
  4. Step 4: Simplify right side
    4,900.50x = 14,537,179.49
  5. Step 5: Solve for x
    x = 14,537,179.49/4,900.50
  6. Step 6: Final answer
    x = 2,966.47

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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.