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Finding the Fourth Proportional to 5,963.07, 8,946.03 and 1,802.82

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Solution

The fourth proportional to 5,963.07, 8,946.03 and 1,802.82 is: 2,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.07 : 8,946.03 = 1,802.82 : x
  2. Step 2: Convert to fraction form
    5,963.07/8,946.03 = 1,802.82/x
  3. Step 3: Cross multiply
    5,963.07x = 8,946.03 × 1,802.82
  4. Step 4: Simplify right side
    5,963.07x = 16,128,081.80
  5. Step 5: Solve for x
    x = 16,128,081.80/5,963.07
  6. Step 6: Final answer
    x = 2,704.66

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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.