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Finding the Fourth Proportional to 3,557.37, 4,909.47 and 1,964.16

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Solution

The fourth proportional to 3,557.37, 4,909.47 and 1,964.16 is: 2,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.37 : 4,909.47 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    3,557.37/4,909.47 = 1,964.16/x
  3. Step 3: Cross multiply
    3,557.37x = 4,909.47 × 1,964.16
  4. Step 4: Simplify right side
    3,557.37x = 9,642,984.60
  5. Step 5: Solve for x
    x = 9,642,984.60/3,557.37
  6. Step 6: Final answer
    x = 2,710.71

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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.