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Finding the Fourth Proportional to 3,898.19, 5,379.51 and 2,405.77

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Solution

The fourth proportional to 3,898.19, 5,379.51 and 2,405.77 is: 3,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.19 : 5,379.51 = 2,405.77 : x
  2. Step 2: Convert to fraction form
    3,898.19/5,379.51 = 2,405.77/x
  3. Step 3: Cross multiply
    3,898.19x = 5,379.51 × 2,405.77
  4. Step 4: Simplify right side
    3,898.19x = 12,941,859.35
  5. Step 5: Solve for x
    x = 12,941,859.35/3,898.19
  6. Step 6: Final answer
    x = 3,319.96

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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.