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Finding the Fourth Proportional to 3,978.94, 5,969.86 and 1,925.50

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Solution

The fourth proportional to 3,978.94, 5,969.86 and 1,925.50 is: 2,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.94 : 5,969.86 = 1,925.50 : x
  2. Step 2: Convert to fraction form
    3,978.94/5,969.86 = 1,925.50/x
  3. Step 3: Cross multiply
    3,978.94x = 5,969.86 × 1,925.50
  4. Step 4: Simplify right side
    3,978.94x = 11,494,965.43
  5. Step 5: Solve for x
    x = 11,494,965.43/3,978.94
  6. Step 6: Final answer
    x = 2,888.95

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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.