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Finding the Fourth Proportional to 5,241.36, 7,862.01 and 1,909.63

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Solution

The fourth proportional to 5,241.36, 7,862.01 and 1,909.63 is: 2,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.36 : 7,862.01 = 1,909.63 : x
  2. Step 2: Convert to fraction form
    5,241.36/7,862.01 = 1,909.63/x
  3. Step 3: Cross multiply
    5,241.36x = 7,862.01 × 1,909.63
  4. Step 4: Simplify right side
    5,241.36x = 15,013,499.34
  5. Step 5: Solve for x
    x = 15,013,499.34/5,241.36
  6. Step 6: Final answer
    x = 2,864.43

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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.