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Finding the Fourth Proportional to 4,072.61, 5,632.04 and 3,998.83

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Solution

The fourth proportional to 4,072.61, 5,632.04 and 3,998.83 is: 5,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.61 : 5,632.04 = 3,998.83 : x
  2. Step 2: Convert to fraction form
    4,072.61/5,632.04 = 3,998.83/x
  3. Step 3: Cross multiply
    4,072.61x = 5,632.04 × 3,998.83
  4. Step 4: Simplify right side
    4,072.61x = 22,521,570.51
  5. Step 5: Solve for x
    x = 22,521,570.51/4,072.61
  6. Step 6: Final answer
    x = 5,530.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.