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Finding the Fourth Proportional to 4,785.57, 7,179.26 and 2,188.50

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Solution

The fourth proportional to 4,785.57, 7,179.26 and 2,188.50 is: 3,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.57 : 7,179.26 = 2,188.50 : x
  2. Step 2: Convert to fraction form
    4,785.57/7,179.26 = 2,188.50/x
  3. Step 3: Cross multiply
    4,785.57x = 7,179.26 × 2,188.50
  4. Step 4: Simplify right side
    4,785.57x = 15,711,799.57
  5. Step 5: Solve for x
    x = 15,711,799.57/4,785.57
  6. Step 6: Final answer
    x = 3,283.16

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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.