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Finding the Fourth Proportional to 3,668.81, 5,492.27 and 2,572.57

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Solution

The fourth proportional to 3,668.81, 5,492.27 and 2,572.57 is: 3,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.81 : 5,492.27 = 2,572.57 : x
  2. Step 2: Convert to fraction form
    3,668.81/5,492.27 = 2,572.57/x
  3. Step 3: Cross multiply
    3,668.81x = 5,492.27 × 2,572.57
  4. Step 4: Simplify right side
    3,668.81x = 14,129,249.03
  5. Step 5: Solve for x
    x = 14,129,249.03/3,668.81
  6. Step 6: Final answer
    x = 3,851.18

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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.