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Finding the Fourth Proportional to 5,605.71, 8,408.57 and 2,315.19

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Solution

The fourth proportional to 5,605.71, 8,408.57 and 2,315.19 is: 3,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.71 : 8,408.57 = 2,315.19 : x
  2. Step 2: Convert to fraction form
    5,605.71/8,408.57 = 2,315.19/x
  3. Step 3: Cross multiply
    5,605.71x = 8,408.57 × 2,315.19
  4. Step 4: Simplify right side
    5,605.71x = 19,467,437.18
  5. Step 5: Solve for x
    x = 19,467,437.18/5,605.71
  6. Step 6: Final answer
    x = 3,472.79

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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.