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Finding the Fourth Proportional to 4,066.68, 6,097.10 and 1,725.39

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Solution

The fourth proportional to 4,066.68, 6,097.10 and 1,725.39 is: 2,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.68 : 6,097.10 = 1,725.39 : x
  2. Step 2: Convert to fraction form
    4,066.68/6,097.10 = 1,725.39/x
  3. Step 3: Cross multiply
    4,066.68x = 6,097.10 × 1,725.39
  4. Step 4: Simplify right side
    4,066.68x = 10,519,866.74
  5. Step 5: Solve for x
    x = 10,519,866.74/4,066.68
  6. Step 6: Final answer
    x = 2,586.84

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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.