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Finding the Fourth Proportional to 3,763.71, 5,645.34 and 1,166.58

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Solution

The fourth proportional to 3,763.71, 5,645.34 and 1,166.58 is: 1,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.71 : 5,645.34 = 1,166.58 : x
  2. Step 2: Convert to fraction form
    3,763.71/5,645.34 = 1,166.58/x
  3. Step 3: Cross multiply
    3,763.71x = 5,645.34 × 1,166.58
  4. Step 4: Simplify right side
    3,763.71x = 6,585,740.74
  5. Step 5: Solve for x
    x = 6,585,740.74/3,763.71
  6. Step 6: Final answer
    x = 1,749.80

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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.