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Finding the Fourth Proportional to 4,976.64, 7,455.24 and 3,657.96

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Solution

The fourth proportional to 4,976.64, 7,455.24 and 3,657.96 is: 5,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.64 : 7,455.24 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    4,976.64/7,455.24 = 3,657.96/x
  3. Step 3: Cross multiply
    4,976.64x = 7,455.24 × 3,657.96
  4. Step 4: Simplify right side
    4,976.64x = 27,270,969.71
  5. Step 5: Solve for x
    x = 27,270,969.71/4,976.64
  6. Step 6: Final answer
    x = 5,479.80

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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.