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Finding the Fourth Proportional to 3,538.32, 5,309.32 and 1,977.36

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Solution

The fourth proportional to 3,538.32, 5,309.32 and 1,977.36 is: 2,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.32 : 5,309.32 = 1,977.36 : x
  2. Step 2: Convert to fraction form
    3,538.32/5,309.32 = 1,977.36/x
  3. Step 3: Cross multiply
    3,538.32x = 5,309.32 × 1,977.36
  4. Step 4: Simplify right side
    3,538.32x = 10,498,437.00
  5. Step 5: Solve for x
    x = 10,498,437.00/3,538.32
  6. Step 6: Final answer
    x = 2,967.07

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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.