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Finding the Fourth Proportional to 5,475.53, 8,213.39 and 1,580.04

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Solution

The fourth proportional to 5,475.53, 8,213.39 and 1,580.04 is: 2,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.53 : 8,213.39 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    5,475.53/8,213.39 = 1,580.04/x
  3. Step 3: Cross multiply
    5,475.53x = 8,213.39 × 1,580.04
  4. Step 4: Simplify right side
    5,475.53x = 12,977,484.74
  5. Step 5: Solve for x
    x = 12,977,484.74/5,475.53
  6. Step 6: Final answer
    x = 2,370.09

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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.