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Finding the Fourth Proportional to 3,815.20, 5,713.20 and 3,047.20

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Solution

The fourth proportional to 3,815.20, 5,713.20 and 3,047.20 is: 4,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.20 : 5,713.20 = 3,047.20 : x
  2. Step 2: Convert to fraction form
    3,815.20/5,713.20 = 3,047.20/x
  3. Step 3: Cross multiply
    3,815.20x = 5,713.20 × 3,047.20
  4. Step 4: Simplify right side
    3,815.20x = 17,409,263.04
  5. Step 5: Solve for x
    x = 17,409,263.04/3,815.20
  6. Step 6: Final answer
    x = 4,563.13

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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.