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Finding the Fourth Proportional to 3,457.43, 5,186.14 and 860.37

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Solution

The fourth proportional to 3,457.43, 5,186.14 and 860.37 is: 1,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.43 : 5,186.14 = 860.37 : x
  2. Step 2: Convert to fraction form
    3,457.43/5,186.14 = 860.37/x
  3. Step 3: Cross multiply
    3,457.43x = 5,186.14 × 860.37
  4. Step 4: Simplify right side
    3,457.43x = 4,461,999.27
  5. Step 5: Solve for x
    x = 4,461,999.27/3,457.43
  6. Step 6: Final answer
    x = 1,290.55

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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.