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Finding the Fourth Proportional to 3,488.63, 5,232.94 and 891.59

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Solution

The fourth proportional to 3,488.63, 5,232.94 and 891.59 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.63 : 5,232.94 = 891.59 : x
  2. Step 2: Convert to fraction form
    3,488.63/5,232.94 = 891.59/x
  3. Step 3: Cross multiply
    3,488.63x = 5,232.94 × 891.59
  4. Step 4: Simplify right side
    3,488.63x = 4,665,608.58
  5. Step 5: Solve for x
    x = 4,665,608.58/3,488.63
  6. Step 6: Final answer
    x = 1,337.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.