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Finding the Fourth Proportional to 3,453.76, 5,176.32 and 1,806.22

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Solution

The fourth proportional to 3,453.76, 5,176.32 and 1,806.22 is: 2,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.76 : 5,176.32 = 1,806.22 : x
  2. Step 2: Convert to fraction form
    3,453.76/5,176.32 = 1,806.22/x
  3. Step 3: Cross multiply
    3,453.76x = 5,176.32 × 1,806.22
  4. Step 4: Simplify right side
    3,453.76x = 9,349,572.71
  5. Step 5: Solve for x
    x = 9,349,572.71/3,453.76
  6. Step 6: Final answer
    x = 2,707.07

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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.