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Finding the Fourth Proportional to 5,078.63, 7,618.46 and 1,568.50

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Solution

The fourth proportional to 5,078.63, 7,618.46 and 1,568.50 is: 2,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.63 : 7,618.46 = 1,568.50 : x
  2. Step 2: Convert to fraction form
    5,078.63/7,618.46 = 1,568.50/x
  3. Step 3: Cross multiply
    5,078.63x = 7,618.46 × 1,568.50
  4. Step 4: Simplify right side
    5,078.63x = 11,949,527.62
  5. Step 5: Solve for x
    x = 11,949,527.62/5,078.63
  6. Step 6: Final answer
    x = 2,352.90

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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.