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Finding the Fourth Proportional to 4,674.57, 7,007.52 and 2,452.94

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Solution

The fourth proportional to 4,674.57, 7,007.52 and 2,452.94 is: 3,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.57 : 7,007.52 = 2,452.94 : x
  2. Step 2: Convert to fraction form
    4,674.57/7,007.52 = 2,452.94/x
  3. Step 3: Cross multiply
    4,674.57x = 7,007.52 × 2,452.94
  4. Step 4: Simplify right side
    4,674.57x = 17,189,043.63
  5. Step 5: Solve for x
    x = 17,189,043.63/4,674.57
  6. Step 6: Final answer
    x = 3,677.14

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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.