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Finding the Fourth Proportional to 4,894.95, 7,340.03 and 3,414.88

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Solution

The fourth proportional to 4,894.95, 7,340.03 and 3,414.88 is: 5,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.95 : 7,340.03 = 3,414.88 : x
  2. Step 2: Convert to fraction form
    4,894.95/7,340.03 = 3,414.88/x
  3. Step 3: Cross multiply
    4,894.95x = 7,340.03 × 3,414.88
  4. Step 4: Simplify right side
    4,894.95x = 25,065,267.87
  5. Step 5: Solve for x
    x = 25,065,267.87/4,894.95
  6. Step 6: Final answer
    x = 5,120.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.