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Finding the Fourth Proportional to 4,641.82, 6,406.74 and 3,631.51

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Solution

The fourth proportional to 4,641.82, 6,406.74 and 3,631.51 is: 5,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.82 : 6,406.74 = 3,631.51 : x
  2. Step 2: Convert to fraction form
    4,641.82/6,406.74 = 3,631.51/x
  3. Step 3: Cross multiply
    4,641.82x = 6,406.74 × 3,631.51
  4. Step 4: Simplify right side
    4,641.82x = 23,266,140.38
  5. Step 5: Solve for x
    x = 23,266,140.38/4,641.82
  6. Step 6: Final answer
    x = 5,012.29

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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.