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Finding the Fourth Proportional to 3,809.65, 5,712.35 and 1,176.41

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Solution

The fourth proportional to 3,809.65, 5,712.35 and 1,176.41 is: 1,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.65 : 5,712.35 = 1,176.41 : x
  2. Step 2: Convert to fraction form
    3,809.65/5,712.35 = 1,176.41/x
  3. Step 3: Cross multiply
    3,809.65x = 5,712.35 × 1,176.41
  4. Step 4: Simplify right side
    3,809.65x = 6,720,065.66
  5. Step 5: Solve for x
    x = 6,720,065.66/3,809.65
  6. Step 6: Final answer
    x = 1,763.96

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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.