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Finding the Fourth Proportional to 5,274.64, 7,278.48 and 3,005.92

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Solution

The fourth proportional to 5,274.64, 7,278.48 and 3,005.92 is: 4,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.64 : 7,278.48 = 3,005.92 : x
  2. Step 2: Convert to fraction form
    5,274.64/7,278.48 = 3,005.92/x
  3. Step 3: Cross multiply
    5,274.64x = 7,278.48 × 3,005.92
  4. Step 4: Simplify right side
    5,274.64x = 21,878,528.60
  5. Step 5: Solve for x
    x = 21,878,528.60/5,274.64
  6. Step 6: Final answer
    x = 4,147.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.