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Finding the Fourth Proportional to 3,544.63, 5,313.20 and 1,202.51

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Solution

The fourth proportional to 3,544.63, 5,313.20 and 1,202.51 is: 1,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.63 : 5,313.20 = 1,202.51 : x
  2. Step 2: Convert to fraction form
    3,544.63/5,313.20 = 1,202.51/x
  3. Step 3: Cross multiply
    3,544.63x = 5,313.20 × 1,202.51
  4. Step 4: Simplify right side
    3,544.63x = 6,389,183.40
  5. Step 5: Solve for x
    x = 6,389,183.40/3,544.63
  6. Step 6: Final answer
    x = 1,802.50

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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.