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Finding the Fourth Proportional to 4,652.45, 6,978.97 and 2,055.38

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Solution

The fourth proportional to 4,652.45, 6,978.97 and 2,055.38 is: 3,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.45 : 6,978.97 = 2,055.38 : x
  2. Step 2: Convert to fraction form
    4,652.45/6,978.97 = 2,055.38/x
  3. Step 3: Cross multiply
    4,652.45x = 6,978.97 × 2,055.38
  4. Step 4: Simplify right side
    4,652.45x = 14,344,395.33
  5. Step 5: Solve for x
    x = 14,344,395.33/4,652.45
  6. Step 6: Final answer
    x = 3,083.20

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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.