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Finding the Fourth Proportional to 5,475.36, 8,213.60 and 1,580.36

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Solution

The fourth proportional to 5,475.36, 8,213.60 and 1,580.36 is: 2,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.36 : 8,213.60 = 1,580.36 : x
  2. Step 2: Convert to fraction form
    5,475.36/8,213.60 = 1,580.36/x
  3. Step 3: Cross multiply
    5,475.36x = 8,213.60 × 1,580.36
  4. Step 4: Simplify right side
    5,475.36x = 12,980,444.90
  5. Step 5: Solve for x
    x = 12,980,444.90/5,475.36
  6. Step 6: Final answer
    x = 2,370.70

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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.