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Finding the Fourth Proportional to 5,289.68, 7,296.44 and 3,403.71

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Solution

The fourth proportional to 5,289.68, 7,296.44 and 3,403.71 is: 4,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.68 : 7,296.44 = 3,403.71 : x
  2. Step 2: Convert to fraction form
    5,289.68/7,296.44 = 3,403.71/x
  3. Step 3: Cross multiply
    5,289.68x = 7,296.44 × 3,403.71
  4. Step 4: Simplify right side
    5,289.68x = 24,834,948.77
  5. Step 5: Solve for x
    x = 24,834,948.77/5,289.68
  6. Step 6: Final answer
    x = 4,694.99

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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.