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Finding the Fourth Proportional to 5,604.69, 8,402.01 and 2,315.68

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Solution

The fourth proportional to 5,604.69, 8,402.01 and 2,315.68 is: 3,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.69 : 8,402.01 = 2,315.68 : x
  2. Step 2: Convert to fraction form
    5,604.69/8,402.01 = 2,315.68/x
  3. Step 3: Cross multiply
    5,604.69x = 8,402.01 × 2,315.68
  4. Step 4: Simplify right side
    5,604.69x = 19,456,366.52
  5. Step 5: Solve for x
    x = 19,456,366.52/5,604.69
  6. Step 6: Final answer
    x = 3,471.44

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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.