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Finding the Fourth Proportional to 6,457.04, 8,910.12 and 3,662

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Solution

The fourth proportional to 6,457.04, 8,910.12 and 3,662 is: 5,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.04 : 8,910.12 = 3,662 : x
  2. Step 2: Convert to fraction form
    6,457.04/8,910.12 = 3,662/x
  3. Step 3: Cross multiply
    6,457.04x = 8,910.12 × 3,662
  4. Step 4: Simplify right side
    6,457.04x = 32,628,859.44
  5. Step 5: Solve for x
    x = 32,628,859.44/6,457.04
  6. Step 6: Final answer
    x = 5,053.22

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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.