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Finding the Fourth Proportional to 5,827.41, 8,051.22 and 4,066.83

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Solution

The fourth proportional to 5,827.41, 8,051.22 and 4,066.83 is: 5,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.41 : 8,051.22 = 4,066.83 : x
  2. Step 2: Convert to fraction form
    5,827.41/8,051.22 = 4,066.83/x
  3. Step 3: Cross multiply
    5,827.41x = 8,051.22 × 4,066.83
  4. Step 4: Simplify right side
    5,827.41x = 32,742,943.03
  5. Step 5: Solve for x
    x = 32,742,943.03/5,827.41
  6. Step 6: Final answer
    x = 5,618.78

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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.