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Finding the Fourth Proportional to 3,506.03, 5,257.50 and 1,313.22

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Solution

The fourth proportional to 3,506.03, 5,257.50 and 1,313.22 is: 1,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.03 : 5,257.50 = 1,313.22 : x
  2. Step 2: Convert to fraction form
    3,506.03/5,257.50 = 1,313.22/x
  3. Step 3: Cross multiply
    3,506.03x = 5,257.50 × 1,313.22
  4. Step 4: Simplify right side
    3,506.03x = 6,904,239.37
  5. Step 5: Solve for x
    x = 6,904,239.37/3,506.03
  6. Step 6: Final answer
    x = 1,969.25

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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.