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Finding the Fourth Proportional to 3,643.31, 5,464.97 and 907.31

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Solution

The fourth proportional to 3,643.31, 5,464.97 and 907.31 is: 1,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.31 : 5,464.97 = 907.31 : x
  2. Step 2: Convert to fraction form
    3,643.31/5,464.97 = 907.31/x
  3. Step 3: Cross multiply
    3,643.31x = 5,464.97 × 907.31
  4. Step 4: Simplify right side
    3,643.31x = 4,958,421.93
  5. Step 5: Solve for x
    x = 4,958,421.93/3,643.31
  6. Step 6: Final answer
    x = 1,360.97

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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.