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Finding the Fourth Proportional to 6,519.69, 8,993.84 and 4,159.35

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Solution

The fourth proportional to 6,519.69, 8,993.84 and 4,159.35 is: 5,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.69 : 8,993.84 = 4,159.35 : x
  2. Step 2: Convert to fraction form
    6,519.69/8,993.84 = 4,159.35/x
  3. Step 3: Cross multiply
    6,519.69x = 8,993.84 × 4,159.35
  4. Step 4: Simplify right side
    6,519.69x = 37,408,507.61
  5. Step 5: Solve for x
    x = 37,408,507.61/6,519.69
  6. Step 6: Final answer
    x = 5,737.77

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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.