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Finding the Fourth Proportional to 5,545, 7,652.12 and 3,187.28

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Solution

The fourth proportional to 5,545, 7,652.12 and 3,187.28 is: 4,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545 : 7,652.12 = 3,187.28 : x
  2. Step 2: Convert to fraction form
    5,545/7,652.12 = 3,187.28/x
  3. Step 3: Cross multiply
    5,545x = 7,652.12 × 3,187.28
  4. Step 4: Simplify right side
    5,545x = 24,389,449.03
  5. Step 5: Solve for x
    x = 24,389,449.03/5,545
  6. Step 6: Final answer
    x = 4,398.46

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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.