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Finding the Fourth Proportional to 6,573.82, 9,056.31 and 4,580.81

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Solution

The fourth proportional to 6,573.82, 9,056.31 and 4,580.81 is: 6,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.82 : 9,056.31 = 4,580.81 : x
  2. Step 2: Convert to fraction form
    6,573.82/9,056.31 = 4,580.81/x
  3. Step 3: Cross multiply
    6,573.82x = 9,056.31 × 4,580.81
  4. Step 4: Simplify right side
    6,573.82x = 41,485,235.41
  5. Step 5: Solve for x
    x = 41,485,235.41/6,573.82
  6. Step 6: Final answer
    x = 6,310.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.