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Finding the Fourth Proportional to 4,927.80, 7,397.10 and 2,740.80

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Solution

The fourth proportional to 4,927.80, 7,397.10 and 2,740.80 is: 4,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.80 : 7,397.10 = 2,740.80 : x
  2. Step 2: Convert to fraction form
    4,927.80/7,397.10 = 2,740.80/x
  3. Step 3: Cross multiply
    4,927.80x = 7,397.10 × 2,740.80
  4. Step 4: Simplify right side
    4,927.80x = 20,273,971.68
  5. Step 5: Solve for x
    x = 20,273,971.68/4,927.80
  6. Step 6: Final answer
    x = 4,114.20

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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.