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Finding the Fourth Proportional to 4,713.64, 6,506.00 and 2,725.44

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Solution

The fourth proportional to 4,713.64, 6,506.00 and 2,725.44 is: 3,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.64 : 6,506.00 = 2,725.44 : x
  2. Step 2: Convert to fraction form
    4,713.64/6,506.00 = 2,725.44/x
  3. Step 3: Cross multiply
    4,713.64x = 6,506.00 × 2,725.44
  4. Step 4: Simplify right side
    4,713.64x = 17,731,699.01
  5. Step 5: Solve for x
    x = 17,731,699.01/4,713.64
  6. Step 6: Final answer
    x = 3,761.79

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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.