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Finding the Fourth Proportional to 3,632.59, 5,448.17 and 999.42

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Solution

The fourth proportional to 3,632.59, 5,448.17 and 999.42 is: 1,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.59 : 5,448.17 = 999.42 : x
  2. Step 2: Convert to fraction form
    3,632.59/5,448.17 = 999.42/x
  3. Step 3: Cross multiply
    3,632.59x = 5,448.17 × 999.42
  4. Step 4: Simplify right side
    3,632.59x = 5,445,017.15
  5. Step 5: Solve for x
    x = 5,445,017.15/3,632.59
  6. Step 6: Final answer
    x = 1,498.93

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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.