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Finding the Fourth Proportional to 4,791.29, 7,193.00 and 4,594.46

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Solution

The fourth proportional to 4,791.29, 7,193.00 and 4,594.46 is: 6,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.29 : 7,193.00 = 4,594.46 : x
  2. Step 2: Convert to fraction form
    4,791.29/7,193.00 = 4,594.46/x
  3. Step 3: Cross multiply
    4,791.29x = 7,193.00 × 4,594.46
  4. Step 4: Simplify right side
    4,791.29x = 33,047,926.30
  5. Step 5: Solve for x
    x = 33,047,926.30/4,791.29
  6. Step 6: Final answer
    x = 6,897.51

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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.