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Finding the Fourth Proportional to 4,274.64, 5,900.82 and 2,878.20

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Solution

The fourth proportional to 4,274.64, 5,900.82 and 2,878.20 is: 3,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.64 : 5,900.82 = 2,878.20 : x
  2. Step 2: Convert to fraction form
    4,274.64/5,900.82 = 2,878.20/x
  3. Step 3: Cross multiply
    4,274.64x = 5,900.82 × 2,878.20
  4. Step 4: Simplify right side
    4,274.64x = 16,983,740.12
  5. Step 5: Solve for x
    x = 16,983,740.12/4,274.64
  6. Step 6: Final answer
    x = 3,973.14

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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.