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Finding the Fourth Proportional to 3,275.36, 4,909.84 and 1,300.34

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Solution

The fourth proportional to 3,275.36, 4,909.84 and 1,300.34 is: 1,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.36 : 4,909.84 = 1,300.34 : x
  2. Step 2: Convert to fraction form
    3,275.36/4,909.84 = 1,300.34/x
  3. Step 3: Cross multiply
    3,275.36x = 4,909.84 × 1,300.34
  4. Step 4: Simplify right side
    3,275.36x = 6,384,436.80
  5. Step 5: Solve for x
    x = 6,384,436.80/3,275.36
  6. Step 6: Final answer
    x = 1,949.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.