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Finding the Fourth Proportional to 4,803.42, 7,205.84 and 1,515.77

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Solution

The fourth proportional to 4,803.42, 7,205.84 and 1,515.77 is: 2,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.42 : 7,205.84 = 1,515.77 : x
  2. Step 2: Convert to fraction form
    4,803.42/7,205.84 = 1,515.77/x
  3. Step 3: Cross multiply
    4,803.42x = 7,205.84 × 1,515.77
  4. Step 4: Simplify right side
    4,803.42x = 10,922,396.10
  5. Step 5: Solve for x
    x = 10,922,396.10/4,803.42
  6. Step 6: Final answer
    x = 2,273.88

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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.