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Finding the Fourth Proportional to 3,483.14, 5,223.90 and 1,632.49

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Solution

The fourth proportional to 3,483.14, 5,223.90 and 1,632.49 is: 2,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.14 : 5,223.90 = 1,632.49 : x
  2. Step 2: Convert to fraction form
    3,483.14/5,223.90 = 1,632.49/x
  3. Step 3: Cross multiply
    3,483.14x = 5,223.90 × 1,632.49
  4. Step 4: Simplify right side
    3,483.14x = 8,527,964.51
  5. Step 5: Solve for x
    x = 8,527,964.51/3,483.14
  6. Step 6: Final answer
    x = 2,448.36

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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.