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Finding the Fourth Proportional to 4,720.64, 7,076.64 and 1,796.72

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Solution

The fourth proportional to 4,720.64, 7,076.64 and 1,796.72 is: 2,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.64 : 7,076.64 = 1,796.72 : x
  2. Step 2: Convert to fraction form
    4,720.64/7,076.64 = 1,796.72/x
  3. Step 3: Cross multiply
    4,720.64x = 7,076.64 × 1,796.72
  4. Step 4: Simplify right side
    4,720.64x = 12,714,740.62
  5. Step 5: Solve for x
    x = 12,714,740.62/4,720.64
  6. Step 6: Final answer
    x = 2,693.44

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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.