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Finding the Fourth Proportional to 3,730.39, 5,146.83 and 2,405.83

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Solution

The fourth proportional to 3,730.39, 5,146.83 and 2,405.83 is: 3,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.39 : 5,146.83 = 2,405.83 : x
  2. Step 2: Convert to fraction form
    3,730.39/5,146.83 = 2,405.83/x
  3. Step 3: Cross multiply
    3,730.39x = 5,146.83 × 2,405.83
  4. Step 4: Simplify right side
    3,730.39x = 12,382,398.02
  5. Step 5: Solve for x
    x = 12,382,398.02/3,730.39
  6. Step 6: Final answer
    x = 3,319.33

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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.