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Finding the Fourth Proportional to 4,891.32, 7,338.33 and 1,604.70

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Solution

The fourth proportional to 4,891.32, 7,338.33 and 1,604.70 is: 2,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.32 : 7,338.33 = 1,604.70 : x
  2. Step 2: Convert to fraction form
    4,891.32/7,338.33 = 1,604.70/x
  3. Step 3: Cross multiply
    4,891.32x = 7,338.33 × 1,604.70
  4. Step 4: Simplify right side
    4,891.32x = 11,775,818.15
  5. Step 5: Solve for x
    x = 11,775,818.15/4,891.32
  6. Step 6: Final answer
    x = 2,407.49

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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.