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Finding the Fourth Proportional to 5,482.08, 8,224.56 and 1,586.80

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Solution

The fourth proportional to 5,482.08, 8,224.56 and 1,586.80 is: 2,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.08 : 8,224.56 = 1,586.80 : x
  2. Step 2: Convert to fraction form
    5,482.08/8,224.56 = 1,586.80/x
  3. Step 3: Cross multiply
    5,482.08x = 8,224.56 × 1,586.80
  4. Step 4: Simplify right side
    5,482.08x = 13,050,731.81
  5. Step 5: Solve for x
    x = 13,050,731.81/5,482.08
  6. Step 6: Final answer
    x = 2,380.62

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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.