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Finding the Fourth Proportional to 4,673.57, 7,012.43 and 2,451.87

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Solution

The fourth proportional to 4,673.57, 7,012.43 and 2,451.87 is: 3,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.57 : 7,012.43 = 2,451.87 : x
  2. Step 2: Convert to fraction form
    4,673.57/7,012.43 = 2,451.87/x
  3. Step 3: Cross multiply
    4,673.57x = 7,012.43 × 2,451.87
  4. Step 4: Simplify right side
    4,673.57x = 17,193,566.74
  5. Step 5: Solve for x
    x = 17,193,566.74/4,673.57
  6. Step 6: Final answer
    x = 3,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.