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Finding the Fourth Proportional to 3,616.47, 5,415.45 and 3,204.36

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Solution

The fourth proportional to 3,616.47, 5,415.45 and 3,204.36 is: 4,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.47 : 5,415.45 = 3,204.36 : x
  2. Step 2: Convert to fraction form
    3,616.47/5,415.45 = 3,204.36/x
  3. Step 3: Cross multiply
    3,616.47x = 5,415.45 × 3,204.36
  4. Step 4: Simplify right side
    3,616.47x = 17,353,051.36
  5. Step 5: Solve for x
    x = 17,353,051.36/3,616.47
  6. Step 6: Final answer
    x = 4,798.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.