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Finding the Fourth Proportional to 3,661.50, 5,457.48 and 3,448.47

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Solution

The fourth proportional to 3,661.50, 5,457.48 and 3,448.47 is: 5,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.50 : 5,457.48 = 3,448.47 : x
  2. Step 2: Convert to fraction form
    3,661.50/5,457.48 = 3,448.47/x
  3. Step 3: Cross multiply
    3,661.50x = 5,457.48 × 3,448.47
  4. Step 4: Simplify right side
    3,661.50x = 18,819,956.06
  5. Step 5: Solve for x
    x = 18,819,956.06/3,661.50
  6. Step 6: Final answer
    x = 5,139.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.