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Finding the Fourth Proportional to 3,454.07, 4,765.19 and 2,406.74

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Solution

The fourth proportional to 3,454.07, 4,765.19 and 2,406.74 is: 3,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.07 : 4,765.19 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    3,454.07/4,765.19 = 2,406.74/x
  3. Step 3: Cross multiply
    3,454.07x = 4,765.19 × 2,406.74
  4. Step 4: Simplify right side
    3,454.07x = 11,468,573.38
  5. Step 5: Solve for x
    x = 11,468,573.38/3,454.07
  6. Step 6: Final answer
    x = 3,320.31

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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.