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Finding the Fourth Proportional to 5,304.42, 7,957.98 and 3,114.99

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Solution

The fourth proportional to 5,304.42, 7,957.98 and 3,114.99 is: 4,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.42 : 7,957.98 = 3,114.99 : x
  2. Step 2: Convert to fraction form
    5,304.42/7,957.98 = 3,114.99/x
  3. Step 3: Cross multiply
    5,304.42x = 7,957.98 × 3,114.99
  4. Step 4: Simplify right side
    5,304.42x = 24,789,028.12
  5. Step 5: Solve for x
    x = 24,789,028.12/5,304.42
  6. Step 6: Final answer
    x = 4,673.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.