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Finding the Fourth Proportional to 5,891.40, 8,130.02 and 3,202.56

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Solution

The fourth proportional to 5,891.40, 8,130.02 and 3,202.56 is: 4,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.40 : 8,130.02 = 3,202.56 : x
  2. Step 2: Convert to fraction form
    5,891.40/8,130.02 = 3,202.56/x
  3. Step 3: Cross multiply
    5,891.40x = 8,130.02 × 3,202.56
  4. Step 4: Simplify right side
    5,891.40x = 26,036,860.84
  5. Step 5: Solve for x
    x = 26,036,860.84/5,891.40
  6. Step 6: Final answer
    x = 4,419.47

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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.