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Finding the Fourth Proportional to 4,731.52, 6,529 and 2,742.70

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Solution

The fourth proportional to 4,731.52, 6,529 and 2,742.70 is: 3,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.52 : 6,529 = 2,742.70 : x
  2. Step 2: Convert to fraction form
    4,731.52/6,529 = 2,742.70/x
  3. Step 3: Cross multiply
    4,731.52x = 6,529 × 2,742.70
  4. Step 4: Simplify right side
    4,731.52x = 17,907,088.30
  5. Step 5: Solve for x
    x = 17,907,088.30/4,731.52
  6. Step 6: Final answer
    x = 3,784.64

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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.