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Finding the Fourth Proportional to 5,891.72, 8,130.52 and 3,202.92

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Solution

The fourth proportional to 5,891.72, 8,130.52 and 3,202.92 is: 4,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.72 : 8,130.52 = 3,202.92 : x
  2. Step 2: Convert to fraction form
    5,891.72/8,130.52 = 3,202.92/x
  3. Step 3: Cross multiply
    5,891.72x = 8,130.52 × 3,202.92
  4. Step 4: Simplify right side
    5,891.72x = 26,041,405.12
  5. Step 5: Solve for x
    x = 26,041,405.12/5,891.72
  6. Step 6: Final answer
    x = 4,420.00

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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.