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Finding the Fourth Proportional to 3,645.54, 5,467.28 and 1,012.40

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Solution

The fourth proportional to 3,645.54, 5,467.28 and 1,012.40 is: 1,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.54 : 5,467.28 = 1,012.40 : x
  2. Step 2: Convert to fraction form
    3,645.54/5,467.28 = 1,012.40/x
  3. Step 3: Cross multiply
    3,645.54x = 5,467.28 × 1,012.40
  4. Step 4: Simplify right side
    3,645.54x = 5,535,041.87
  5. Step 5: Solve for x
    x = 5,535,041.87/3,645.54
  6. Step 6: Final answer
    x = 1,518.31

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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.