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Finding the Fourth Proportional to 3,357.09, 4,633 and 1,865

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Solution

The fourth proportional to 3,357.09, 4,633 and 1,865 is: 2,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.09 : 4,633 = 1,865 : x
  2. Step 2: Convert to fraction form
    3,357.09/4,633 = 1,865/x
  3. Step 3: Cross multiply
    3,357.09x = 4,633 × 1,865
  4. Step 4: Simplify right side
    3,357.09x = 8,640,545
  5. Step 5: Solve for x
    x = 8,640,545/3,357.09
  6. Step 6: Final answer
    x = 2,573.82

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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.