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Finding the Fourth Proportional to 5,905.44, 8,152.64 and 4,576.16

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Solution

The fourth proportional to 5,905.44, 8,152.64 and 4,576.16 is: 6,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.44 : 8,152.64 = 4,576.16 : x
  2. Step 2: Convert to fraction form
    5,905.44/8,152.64 = 4,576.16/x
  3. Step 3: Cross multiply
    5,905.44x = 8,152.64 × 4,576.16
  4. Step 4: Simplify right side
    5,905.44x = 37,307,785.06
  5. Step 5: Solve for x
    x = 37,307,785.06/5,905.44
  6. Step 6: Final answer
    x = 6,317.53

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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.