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Finding the Fourth Proportional to 3,482.56, 4,803.46 and 2,305.23

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Solution

The fourth proportional to 3,482.56, 4,803.46 and 2,305.23 is: 3,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.56 : 4,803.46 = 2,305.23 : x
  2. Step 2: Convert to fraction form
    3,482.56/4,803.46 = 2,305.23/x
  3. Step 3: Cross multiply
    3,482.56x = 4,803.46 × 2,305.23
  4. Step 4: Simplify right side
    3,482.56x = 11,073,080.10
  5. Step 5: Solve for x
    x = 11,073,080.10/3,482.56
  6. Step 6: Final answer
    x = 3,179.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.