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Finding the Fourth Proportional to 3,405.71, 4,698.73 and 1,913.33

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Solution

The fourth proportional to 3,405.71, 4,698.73 and 1,913.33 is: 2,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.71 : 4,698.73 = 1,913.33 : x
  2. Step 2: Convert to fraction form
    3,405.71/4,698.73 = 1,913.33/x
  3. Step 3: Cross multiply
    3,405.71x = 4,698.73 × 1,913.33
  4. Step 4: Simplify right side
    3,405.71x = 8,990,221.07
  5. Step 5: Solve for x
    x = 8,990,221.07/3,405.71
  6. Step 6: Final answer
    x = 2,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.