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Finding the Fourth Proportional to 5,482.46, 8,224.21 and 1,533.72

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Solution

The fourth proportional to 5,482.46, 8,224.21 and 1,533.72 is: 2,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.46 : 8,224.21 = 1,533.72 : x
  2. Step 2: Convert to fraction form
    5,482.46/8,224.21 = 1,533.72/x
  3. Step 3: Cross multiply
    5,482.46x = 8,224.21 × 1,533.72
  4. Step 4: Simplify right side
    5,482.46x = 12,613,635.58
  5. Step 5: Solve for x
    x = 12,613,635.58/5,482.46
  6. Step 6: Final answer
    x = 2,300.73

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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.