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Finding the Fourth Proportional to 5,962.90, 8,946.78 and 4,791.64

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Solution

The fourth proportional to 5,962.90, 8,946.78 and 4,791.64 is: 7,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.90 : 8,946.78 = 4,791.64 : x
  2. Step 2: Convert to fraction form
    5,962.90/8,946.78 = 4,791.64/x
  3. Step 3: Cross multiply
    5,962.90x = 8,946.78 × 4,791.64
  4. Step 4: Simplify right side
    5,962.90x = 42,869,748.92
  5. Step 5: Solve for x
    x = 42,869,748.92/5,962.90
  6. Step 6: Final answer
    x = 7,189.41

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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.