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Finding the Fourth Proportional to 3,557.34, 5,336.01 and 1,914.66

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Solution

The fourth proportional to 3,557.34, 5,336.01 and 1,914.66 is: 2,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.34 : 5,336.01 = 1,914.66 : x
  2. Step 2: Convert to fraction form
    3,557.34/5,336.01 = 1,914.66/x
  3. Step 3: Cross multiply
    3,557.34x = 5,336.01 × 1,914.66
  4. Step 4: Simplify right side
    3,557.34x = 10,216,644.91
  5. Step 5: Solve for x
    x = 10,216,644.91/3,557.34
  6. Step 6: Final answer
    x = 2,871.99

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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.