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Finding the Fourth Proportional to 4,161.71, 6,242.13 and 1,564.85

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Solution

The fourth proportional to 4,161.71, 6,242.13 and 1,564.85 is: 2,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.71 : 6,242.13 = 1,564.85 : x
  2. Step 2: Convert to fraction form
    4,161.71/6,242.13 = 1,564.85/x
  3. Step 3: Cross multiply
    4,161.71x = 6,242.13 × 1,564.85
  4. Step 4: Simplify right side
    4,161.71x = 9,767,997.13
  5. Step 5: Solve for x
    x = 9,767,997.13/4,161.71
  6. Step 6: Final answer
    x = 2,347.11

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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.