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Finding the Fourth Proportional to 5,477.28, 8,214.48 and 1,580.64

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Solution

The fourth proportional to 5,477.28, 8,214.48 and 1,580.64 is: 2,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.28 : 8,214.48 = 1,580.64 : x
  2. Step 2: Convert to fraction form
    5,477.28/8,214.48 = 1,580.64/x
  3. Step 3: Cross multiply
    5,477.28x = 8,214.48 × 1,580.64
  4. Step 4: Simplify right side
    5,477.28x = 12,984,135.67
  5. Step 5: Solve for x
    x = 12,984,135.67/5,477.28
  6. Step 6: Final answer
    x = 2,370.54

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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.