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Finding the Fourth Proportional to 3,632.32, 5,448.47 and 999.63

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Solution

The fourth proportional to 3,632.32, 5,448.47 and 999.63 is: 1,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.32 : 5,448.47 = 999.63 : x
  2. Step 2: Convert to fraction form
    3,632.32/5,448.47 = 999.63/x
  3. Step 3: Cross multiply
    3,632.32x = 5,448.47 × 999.63
  4. Step 4: Simplify right side
    3,632.32x = 5,446,454.07
  5. Step 5: Solve for x
    x = 5,446,454.07/3,632.32
  6. Step 6: Final answer
    x = 1,499.44

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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.