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Finding the Fourth Proportional to 5,475.83, 8,212.53 and 1,580.54

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Solution

The fourth proportional to 5,475.83, 8,212.53 and 1,580.54 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.83 : 8,212.53 = 1,580.54 : x
  2. Step 2: Convert to fraction form
    5,475.83/8,212.53 = 1,580.54/x
  3. Step 3: Cross multiply
    5,475.83x = 8,212.53 × 1,580.54
  4. Step 4: Simplify right side
    5,475.83x = 12,980,232.17
  5. Step 5: Solve for x
    x = 12,980,232.17/5,475.83
  6. Step 6: Final answer
    x = 2,370.46

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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.