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Finding the Fourth Proportional to 4,709.19, 6,498.77 and 2,719.85

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Solution

The fourth proportional to 4,709.19, 6,498.77 and 2,719.85 is: 3,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.19 : 6,498.77 = 2,719.85 : x
  2. Step 2: Convert to fraction form
    4,709.19/6,498.77 = 2,719.85/x
  3. Step 3: Cross multiply
    4,709.19x = 6,498.77 × 2,719.85
  4. Step 4: Simplify right side
    4,709.19x = 17,675,633.49
  5. Step 5: Solve for x
    x = 17,675,633.49/4,709.19
  6. Step 6: Final answer
    x = 3,753.43

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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.