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Finding the Fourth Proportional to 4,673.16, 6,451.50 and 3,412.92

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Solution

The fourth proportional to 4,673.16, 6,451.50 and 3,412.92 is: 4,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.16 : 6,451.50 = 3,412.92 : x
  2. Step 2: Convert to fraction form
    4,673.16/6,451.50 = 3,412.92/x
  3. Step 3: Cross multiply
    4,673.16x = 6,451.50 × 3,412.92
  4. Step 4: Simplify right side
    4,673.16x = 22,018,453.38
  5. Step 5: Solve for x
    x = 22,018,453.38/4,673.16
  6. Step 6: Final answer
    x = 4,711.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.