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Finding the Fourth Proportional to 5,419.85, 8,130.01 and 1,864.42

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Solution

The fourth proportional to 5,419.85, 8,130.01 and 1,864.42 is: 2,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.85 : 8,130.01 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    5,419.85/8,130.01 = 1,864.42/x
  3. Step 3: Cross multiply
    5,419.85x = 8,130.01 × 1,864.42
  4. Step 4: Simplify right side
    5,419.85x = 15,157,753.24
  5. Step 5: Solve for x
    x = 15,157,753.24/5,419.85
  6. Step 6: Final answer
    x = 2,796.71

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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.