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Finding the Fourth Proportional to 5,476.64, 8,214.72 and 1,580.96

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Solution

The fourth proportional to 5,476.64, 8,214.72 and 1,580.96 is: 2,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.64 : 8,214.72 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    5,476.64/8,214.72 = 1,580.96/x
  3. Step 3: Cross multiply
    5,476.64x = 8,214.72 × 1,580.96
  4. Step 4: Simplify right side
    5,476.64x = 12,987,143.73
  5. Step 5: Solve for x
    x = 12,987,143.73/5,476.64
  6. Step 6: Final answer
    x = 2,371.37

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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.