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Finding the Fourth Proportional to 3,482.46, 5,213.84 and 3,154.02

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Solution

The fourth proportional to 3,482.46, 5,213.84 and 3,154.02 is: 4,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.46 : 5,213.84 = 3,154.02 : x
  2. Step 2: Convert to fraction form
    3,482.46/5,213.84 = 3,154.02/x
  3. Step 3: Cross multiply
    3,482.46x = 5,213.84 × 3,154.02
  4. Step 4: Simplify right side
    3,482.46x = 16,444,539.87
  5. Step 5: Solve for x
    x = 16,444,539.87/3,482.46
  6. Step 6: Final answer
    x = 4,722.10

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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.