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Finding the Fourth Proportional to 4,362.54, 6,538.62 and 2,019.28

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Solution

The fourth proportional to 4,362.54, 6,538.62 and 2,019.28 is: 3,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.54 : 6,538.62 = 2,019.28 : x
  2. Step 2: Convert to fraction form
    4,362.54/6,538.62 = 2,019.28/x
  3. Step 3: Cross multiply
    4,362.54x = 6,538.62 × 2,019.28
  4. Step 4: Simplify right side
    4,362.54x = 13,203,304.59
  5. Step 5: Solve for x
    x = 13,203,304.59/4,362.54
  6. Step 6: Final answer
    x = 3,026.52

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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.