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Finding the Fourth Proportional to 5,313.13, 7,966.28 and 1,614.37

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Solution

The fourth proportional to 5,313.13, 7,966.28 and 1,614.37 is: 2,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.13 : 7,966.28 = 1,614.37 : x
  2. Step 2: Convert to fraction form
    5,313.13/7,966.28 = 1,614.37/x
  3. Step 3: Cross multiply
    5,313.13x = 7,966.28 × 1,614.37
  4. Step 4: Simplify right side
    5,313.13x = 12,860,523.44
  5. Step 5: Solve for x
    x = 12,860,523.44/5,313.13
  6. Step 6: Final answer
    x = 2,420.52

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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.