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Finding the Fourth Proportional to 5,891.31, 8,130.06 and 3,202.52

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Solution

The fourth proportional to 5,891.31, 8,130.06 and 3,202.52 is: 4,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.31 : 8,130.06 = 3,202.52 : x
  2. Step 2: Convert to fraction form
    5,891.31/8,130.06 = 3,202.52/x
  3. Step 3: Cross multiply
    5,891.31x = 8,130.06 × 3,202.52
  4. Step 4: Simplify right side
    5,891.31x = 26,036,639.10
  5. Step 5: Solve for x
    x = 26,036,639.10/5,891.31
  6. Step 6: Final answer
    x = 4,419.50

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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.