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Finding the Fourth Proportional to 4,315.36, 6,457.92 and 3,217

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Solution

The fourth proportional to 4,315.36, 6,457.92 and 3,217 is: 4,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.36 : 6,457.92 = 3,217 : x
  2. Step 2: Convert to fraction form
    4,315.36/6,457.92 = 3,217/x
  3. Step 3: Cross multiply
    4,315.36x = 6,457.92 × 3,217
  4. Step 4: Simplify right side
    4,315.36x = 20,775,128.64
  5. Step 5: Solve for x
    x = 20,775,128.64/4,315.36
  6. Step 6: Final answer
    x = 4,814.23

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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.