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Finding the Fourth Proportional to 3,802.83, 5,250.38 and 3,403.80

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Solution

The fourth proportional to 3,802.83, 5,250.38 and 3,403.80 is: 4,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.83 : 5,250.38 = 3,403.80 : x
  2. Step 2: Convert to fraction form
    3,802.83/5,250.38 = 3,403.80/x
  3. Step 3: Cross multiply
    3,802.83x = 5,250.38 × 3,403.80
  4. Step 4: Simplify right side
    3,802.83x = 17,871,226.43
  5. Step 5: Solve for x
    x = 17,871,226.43/3,802.83
  6. Step 6: Final answer
    x = 4,699.45

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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.