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Finding the Fourth Proportional to 5,670.29, 7,823.12 and 3,431.31

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Solution

The fourth proportional to 5,670.29, 7,823.12 and 3,431.31 is: 4,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.29 : 7,823.12 = 3,431.31 : x
  2. Step 2: Convert to fraction form
    5,670.29/7,823.12 = 3,431.31/x
  3. Step 3: Cross multiply
    5,670.29x = 7,823.12 × 3,431.31
  4. Step 4: Simplify right side
    5,670.29x = 26,843,558.47
  5. Step 5: Solve for x
    x = 26,843,558.47/5,670.29
  6. Step 6: Final answer
    x = 4,734.08

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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.