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Finding the Fourth Proportional to 3,305.82, 4,566.07 and 2,420.38

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Solution

The fourth proportional to 3,305.82, 4,566.07 and 2,420.38 is: 3,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.82 : 4,566.07 = 2,420.38 : x
  2. Step 2: Convert to fraction form
    3,305.82/4,566.07 = 2,420.38/x
  3. Step 3: Cross multiply
    3,305.82x = 4,566.07 × 2,420.38
  4. Step 4: Simplify right side
    3,305.82x = 11,051,624.51
  5. Step 5: Solve for x
    x = 11,051,624.51/3,305.82
  6. Step 6: Final answer
    x = 3,343.08

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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.