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Finding the Fourth Proportional to 4,951.80, 7,437.96 and 4,785.72

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Solution

The fourth proportional to 4,951.80, 7,437.96 and 4,785.72 is: 7,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.80 : 7,437.96 = 4,785.72 : x
  2. Step 2: Convert to fraction form
    4,951.80/7,437.96 = 4,785.72/x
  3. Step 3: Cross multiply
    4,951.80x = 7,437.96 × 4,785.72
  4. Step 4: Simplify right side
    4,951.80x = 35,595,966.04
  5. Step 5: Solve for x
    x = 35,595,966.04/4,951.80
  6. Step 6: Final answer
    x = 7,188.49

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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.