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Finding the Fourth Proportional to 5,822.40, 8,034.30 and 3,464.22

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Solution

The fourth proportional to 5,822.40, 8,034.30 and 3,464.22 is: 4,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.40 : 8,034.30 = 3,464.22 : x
  2. Step 2: Convert to fraction form
    5,822.40/8,034.30 = 3,464.22/x
  3. Step 3: Cross multiply
    5,822.40x = 8,034.30 × 3,464.22
  4. Step 4: Simplify right side
    5,822.40x = 27,832,582.75
  5. Step 5: Solve for x
    x = 27,832,582.75/5,822.40
  6. Step 6: Final answer
    x = 4,780.26

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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.