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Finding the Fourth Proportional to 3,680.88, 5,521.17 and 907.41

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Solution

The fourth proportional to 3,680.88, 5,521.17 and 907.41 is: 1,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.88 : 5,521.17 = 907.41 : x
  2. Step 2: Convert to fraction form
    3,680.88/5,521.17 = 907.41/x
  3. Step 3: Cross multiply
    3,680.88x = 5,521.17 × 907.41
  4. Step 4: Simplify right side
    3,680.88x = 5,009,964.87
  5. Step 5: Solve for x
    x = 5,009,964.87/3,680.88
  6. Step 6: Final answer
    x = 1,361.08

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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.