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Finding the Fourth Proportional to 5,802.40, 8,704.86 and 1,906.72

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Solution

The fourth proportional to 5,802.40, 8,704.86 and 1,906.72 is: 2,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.40 : 8,704.86 = 1,906.72 : x
  2. Step 2: Convert to fraction form
    5,802.40/8,704.86 = 1,906.72/x
  3. Step 3: Cross multiply
    5,802.40x = 8,704.86 × 1,906.72
  4. Step 4: Simplify right side
    5,802.40x = 16,597,730.66
  5. Step 5: Solve for x
    x = 16,597,730.66/5,802.40
  6. Step 6: Final answer
    x = 2,860.49

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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.