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Finding the Fourth Proportional to 5,311.40, 7,968.02 and 1,614.00

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Solution

The fourth proportional to 5,311.40, 7,968.02 and 1,614.00 is: 2,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.40 : 7,968.02 = 1,614.00 : x
  2. Step 2: Convert to fraction form
    5,311.40/7,968.02 = 1,614.00/x
  3. Step 3: Cross multiply
    5,311.40x = 7,968.02 × 1,614.00
  4. Step 4: Simplify right side
    5,311.40x = 12,860,396.13
  5. Step 5: Solve for x
    x = 12,860,396.13/5,311.40
  6. Step 6: Final answer
    x = 2,421.28

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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.