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Finding the Fourth Proportional to 3,482.01, 4,803.49 and 2,286.53

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Solution

The fourth proportional to 3,482.01, 4,803.49 and 2,286.53 is: 3,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.01 : 4,803.49 = 2,286.53 : x
  2. Step 2: Convert to fraction form
    3,482.01/4,803.49 = 2,286.53/x
  3. Step 3: Cross multiply
    3,482.01x = 4,803.49 × 2,286.53
  4. Step 4: Simplify right side
    3,482.01x = 10,983,320.84
  5. Step 5: Solve for x
    x = 10,983,320.84/3,482.01
  6. Step 6: Final answer
    x = 3,154.30

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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.