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Finding the Fourth Proportional to 5,649.66, 8,473.95 and 3,457.26

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Solution

The fourth proportional to 5,649.66, 8,473.95 and 3,457.26 is: 5,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.66 : 8,473.95 = 3,457.26 : x
  2. Step 2: Convert to fraction form
    5,649.66/8,473.95 = 3,457.26/x
  3. Step 3: Cross multiply
    5,649.66x = 8,473.95 × 3,457.26
  4. Step 4: Simplify right side
    5,649.66x = 29,296,648.38
  5. Step 5: Solve for x
    x = 29,296,648.38/5,649.66
  6. Step 6: Final answer
    x = 5,185.56

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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.