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Finding the Fourth Proportional to 3,645.36, 5,463.81 and 1,562.22

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Solution

The fourth proportional to 3,645.36, 5,463.81 and 1,562.22 is: 2,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.36 : 5,463.81 = 1,562.22 : x
  2. Step 2: Convert to fraction form
    3,645.36/5,463.81 = 1,562.22/x
  3. Step 3: Cross multiply
    3,645.36x = 5,463.81 × 1,562.22
  4. Step 4: Simplify right side
    3,645.36x = 8,535,673.26
  5. Step 5: Solve for x
    x = 8,535,673.26/3,645.36
  6. Step 6: Final answer
    x = 2,341.52

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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.