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Finding the Fourth Proportional to 5,822.13, 8,033.94 and 3,463.86

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Solution

The fourth proportional to 5,822.13, 8,033.94 and 3,463.86 is: 4,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.13 : 8,033.94 = 3,463.86 : x
  2. Step 2: Convert to fraction form
    5,822.13/8,033.94 = 3,463.86/x
  3. Step 3: Cross multiply
    5,822.13x = 8,033.94 × 3,463.86
  4. Step 4: Simplify right side
    5,822.13x = 27,828,443.41
  5. Step 5: Solve for x
    x = 27,828,443.41/5,822.13
  6. Step 6: Final answer
    x = 4,779.77

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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.