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Finding the Fourth Proportional to 4,688.48, 6,458.84 and 3,942.47

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Solution

The fourth proportional to 4,688.48, 6,458.84 and 3,942.47 is: 5,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.48 : 6,458.84 = 3,942.47 : x
  2. Step 2: Convert to fraction form
    4,688.48/6,458.84 = 3,942.47/x
  3. Step 3: Cross multiply
    4,688.48x = 6,458.84 × 3,942.47
  4. Step 4: Simplify right side
    4,688.48x = 25,463,794.15
  5. Step 5: Solve for x
    x = 25,463,794.15/4,688.48
  6. Step 6: Final answer
    x = 5,431.14

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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.