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Finding the Fourth Proportional to 4,688.54, 7,034.04 and 1,401.56

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Solution

The fourth proportional to 4,688.54, 7,034.04 and 1,401.56 is: 2,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.54 : 7,034.04 = 1,401.56 : x
  2. Step 2: Convert to fraction form
    4,688.54/7,034.04 = 1,401.56/x
  3. Step 3: Cross multiply
    4,688.54x = 7,034.04 × 1,401.56
  4. Step 4: Simplify right side
    4,688.54x = 9,858,629.10
  5. Step 5: Solve for x
    x = 9,858,629.10/4,688.54
  6. Step 6: Final answer
    x = 2,102.71

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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.