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Finding the Fourth Proportional to 4,161.88, 6,243.06 and 1,564.84

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Solution

The fourth proportional to 4,161.88, 6,243.06 and 1,564.84 is: 2,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.88 : 6,243.06 = 1,564.84 : x
  2. Step 2: Convert to fraction form
    4,161.88/6,243.06 = 1,564.84/x
  3. Step 3: Cross multiply
    4,161.88x = 6,243.06 × 1,564.84
  4. Step 4: Simplify right side
    4,161.88x = 9,769,390.01
  5. Step 5: Solve for x
    x = 9,769,390.01/4,161.88
  6. Step 6: Final answer
    x = 2,347.35

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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.