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Finding the Fourth Proportional to 4,651.56, 6,978.56 and 2,701.89

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Solution

The fourth proportional to 4,651.56, 6,978.56 and 2,701.89 is: 4,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.56 : 6,978.56 = 2,701.89 : x
  2. Step 2: Convert to fraction form
    4,651.56/6,978.56 = 2,701.89/x
  3. Step 3: Cross multiply
    4,651.56x = 6,978.56 × 2,701.89
  4. Step 4: Simplify right side
    4,651.56x = 18,855,287.97
  5. Step 5: Solve for x
    x = 18,855,287.97/4,651.56
  6. Step 6: Final answer
    x = 4,053.54

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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.