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Finding the Fourth Proportional to 5,419.93, 8,130.54 and 1,909.21

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Solution

The fourth proportional to 5,419.93, 8,130.54 and 1,909.21 is: 2,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.93 : 8,130.54 = 1,909.21 : x
  2. Step 2: Convert to fraction form
    5,419.93/8,130.54 = 1,909.21/x
  3. Step 3: Cross multiply
    5,419.93x = 8,130.54 × 1,909.21
  4. Step 4: Simplify right side
    5,419.93x = 15,522,908.27
  5. Step 5: Solve for x
    x = 15,522,908.27/5,419.93
  6. Step 6: Final answer
    x = 2,864.04

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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.