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Finding the Fourth Proportional to 5,729.90, 7,912.08 and 4,311.14

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Solution

The fourth proportional to 5,729.90, 7,912.08 and 4,311.14 is: 5,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.90 : 7,912.08 = 4,311.14 : x
  2. Step 2: Convert to fraction form
    5,729.90/7,912.08 = 4,311.14/x
  3. Step 3: Cross multiply
    5,729.90x = 7,912.08 × 4,311.14
  4. Step 4: Simplify right side
    5,729.90x = 34,110,045.01
  5. Step 5: Solve for x
    x = 34,110,045.01/5,729.90
  6. Step 6: Final answer
    x = 5,953.00

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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.