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Finding the Fourth Proportional to 5,304.24, 7,956.90 and 1,840.68

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Solution

The fourth proportional to 5,304.24, 7,956.90 and 1,840.68 is: 2,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.24 : 7,956.90 = 1,840.68 : x
  2. Step 2: Convert to fraction form
    5,304.24/7,956.90 = 1,840.68/x
  3. Step 3: Cross multiply
    5,304.24x = 7,956.90 × 1,840.68
  4. Step 4: Simplify right side
    5,304.24x = 14,646,106.69
  5. Step 5: Solve for x
    x = 14,646,106.69/5,304.24
  6. Step 6: Final answer
    x = 2,761.21

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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.