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Finding the Fourth Proportional to 4,803.25, 7,205.15 and 1,340.77

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Solution

The fourth proportional to 4,803.25, 7,205.15 and 1,340.77 is: 2,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.25 : 7,205.15 = 1,340.77 : x
  2. Step 2: Convert to fraction form
    4,803.25/7,205.15 = 1,340.77/x
  3. Step 3: Cross multiply
    4,803.25x = 7,205.15 × 1,340.77
  4. Step 4: Simplify right side
    4,803.25x = 9,660,448.97
  5. Step 5: Solve for x
    x = 9,660,448.97/4,803.25
  6. Step 6: Final answer
    x = 2,011.23

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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.