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Finding the Fourth Proportional to 6,345.60, 8,756.51 and 3,512.78

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Solution

The fourth proportional to 6,345.60, 8,756.51 and 3,512.78 is: 4,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.60 : 8,756.51 = 3,512.78 : x
  2. Step 2: Convert to fraction form
    6,345.60/8,756.51 = 3,512.78/x
  3. Step 3: Cross multiply
    6,345.60x = 8,756.51 × 3,512.78
  4. Step 4: Simplify right side
    6,345.60x = 30,759,694.33
  5. Step 5: Solve for x
    x = 30,759,694.33/6,345.60
  6. Step 6: Final answer
    x = 4,847.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.