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Finding the Fourth Proportional to 3,557.72, 4,909.63 and 1,964.37

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Solution

The fourth proportional to 3,557.72, 4,909.63 and 1,964.37 is: 2,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.72 : 4,909.63 = 1,964.37 : x
  2. Step 2: Convert to fraction form
    3,557.72/4,909.63 = 1,964.37/x
  3. Step 3: Cross multiply
    3,557.72x = 4,909.63 × 1,964.37
  4. Step 4: Simplify right side
    3,557.72x = 9,644,320.06
  5. Step 5: Solve for x
    x = 9,644,320.06/3,557.72
  6. Step 6: Final answer
    x = 2,710.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.