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Finding the Fourth Proportional to 3,405.54, 4,699.71 and 1,913.61

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Solution

The fourth proportional to 3,405.54, 4,699.71 and 1,913.61 is: 2,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.54 : 4,699.71 = 1,913.61 : x
  2. Step 2: Convert to fraction form
    3,405.54/4,699.71 = 1,913.61/x
  3. Step 3: Cross multiply
    3,405.54x = 4,699.71 × 1,913.61
  4. Step 4: Simplify right side
    3,405.54x = 8,993,412.05
  5. Step 5: Solve for x
    x = 8,993,412.05/3,405.54
  6. Step 6: Final answer
    x = 2,640.82

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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.