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Finding the Fourth Proportional to 4,740.80, 7,105.20 and 1,815.20

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Solution

The fourth proportional to 4,740.80, 7,105.20 and 1,815.20 is: 2,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.80 : 7,105.20 = 1,815.20 : x
  2. Step 2: Convert to fraction form
    4,740.80/7,105.20 = 1,815.20/x
  3. Step 3: Cross multiply
    4,740.80x = 7,105.20 × 1,815.20
  4. Step 4: Simplify right side
    4,740.80x = 12,897,359.04
  5. Step 5: Solve for x
    x = 12,897,359.04/4,740.80
  6. Step 6: Final answer
    x = 2,720.50

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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.