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Finding the Fourth Proportional to 3,711.42, 5,563.29 and 1,762.14

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Solution

The fourth proportional to 3,711.42, 5,563.29 and 1,762.14 is: 2,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.42 : 5,563.29 = 1,762.14 : x
  2. Step 2: Convert to fraction form
    3,711.42/5,563.29 = 1,762.14/x
  3. Step 3: Cross multiply
    3,711.42x = 5,563.29 × 1,762.14
  4. Step 4: Simplify right side
    3,711.42x = 9,803,295.84
  5. Step 5: Solve for x
    x = 9,803,295.84/3,711.42
  6. Step 6: Final answer
    x = 2,641.39

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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.