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Finding the Fourth Proportional to 3,539.50, 5,309.93 and 1,348.06

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Solution

The fourth proportional to 3,539.50, 5,309.93 and 1,348.06 is: 2,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.50 : 5,309.93 = 1,348.06 : x
  2. Step 2: Convert to fraction form
    3,539.50/5,309.93 = 1,348.06/x
  3. Step 3: Cross multiply
    3,539.50x = 5,309.93 × 1,348.06
  4. Step 4: Simplify right side
    3,539.50x = 7,158,104.24
  5. Step 5: Solve for x
    x = 7,158,104.24/3,539.50
  6. Step 6: Final answer
    x = 2,022.35

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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.