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Finding the Fourth Proportional to 4,166.08, 5,750.64 and 2,678.08

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Solution

The fourth proportional to 4,166.08, 5,750.64 and 2,678.08 is: 3,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.08 : 5,750.64 = 2,678.08 : x
  2. Step 2: Convert to fraction form
    4,166.08/5,750.64 = 2,678.08/x
  3. Step 3: Cross multiply
    4,166.08x = 5,750.64 × 2,678.08
  4. Step 4: Simplify right side
    4,166.08x = 15,400,673.97
  5. Step 5: Solve for x
    x = 15,400,673.97/4,166.08
  6. Step 6: Final answer
    x = 3,696.68

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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.