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Finding the Fourth Proportional to 3,661.51, 5,492.80 and 1,161.86

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Solution

The fourth proportional to 3,661.51, 5,492.80 and 1,161.86 is: 1,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.51 : 5,492.80 = 1,161.86 : x
  2. Step 2: Convert to fraction form
    3,661.51/5,492.80 = 1,161.86/x
  3. Step 3: Cross multiply
    3,661.51x = 5,492.80 × 1,161.86
  4. Step 4: Simplify right side
    3,661.51x = 6,381,858.80
  5. Step 5: Solve for x
    x = 6,381,858.80/3,661.51
  6. Step 6: Final answer
    x = 1,742.96

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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.