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Finding the Fourth Proportional to 5,730.84, 7,912.34 and 3,967.88

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Solution

The fourth proportional to 5,730.84, 7,912.34 and 3,967.88 is: 5,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.84 : 7,912.34 = 3,967.88 : x
  2. Step 2: Convert to fraction form
    5,730.84/7,912.34 = 3,967.88/x
  3. Step 3: Cross multiply
    5,730.84x = 7,912.34 × 3,967.88
  4. Step 4: Simplify right side
    5,730.84x = 31,395,156.24
  5. Step 5: Solve for x
    x = 31,395,156.24/5,730.84
  6. Step 6: Final answer
    x = 5,478.28

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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.