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Finding the Fourth Proportional to 4,196.76, 6,295.02 and 1,076.64

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Solution

The fourth proportional to 4,196.76, 6,295.02 and 1,076.64 is: 1,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.76 : 6,295.02 = 1,076.64 : x
  2. Step 2: Convert to fraction form
    4,196.76/6,295.02 = 1,076.64/x
  3. Step 3: Cross multiply
    4,196.76x = 6,295.02 × 1,076.64
  4. Step 4: Simplify right side
    4,196.76x = 6,777,478.10
  5. Step 5: Solve for x
    x = 6,777,478.10/4,196.76
  6. Step 6: Final answer
    x = 1,614.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.