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Finding the Fourth Proportional to 4,052.64, 6,068.02 and 2,738.50

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Solution

The fourth proportional to 4,052.64, 6,068.02 and 2,738.50 is: 4,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.64 : 6,068.02 = 2,738.50 : x
  2. Step 2: Convert to fraction form
    4,052.64/6,068.02 = 2,738.50/x
  3. Step 3: Cross multiply
    4,052.64x = 6,068.02 × 2,738.50
  4. Step 4: Simplify right side
    4,052.64x = 16,617,272.77
  5. Step 5: Solve for x
    x = 16,617,272.77/4,052.64
  6. Step 6: Final answer
    x = 4,100.36

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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.