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Finding the Fourth Proportional to 4,731.48, 7,096.24 and 4,497.32

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Solution

The fourth proportional to 4,731.48, 7,096.24 and 4,497.32 is: 6,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.48 : 7,096.24 = 4,497.32 : x
  2. Step 2: Convert to fraction form
    4,731.48/7,096.24 = 4,497.32/x
  3. Step 3: Cross multiply
    4,731.48x = 7,096.24 × 4,497.32
  4. Step 4: Simplify right side
    4,731.48x = 31,914,062.08
  5. Step 5: Solve for x
    x = 31,914,062.08/4,731.48
  6. Step 6: Final answer
    x = 6,745.05

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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.