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Finding the Fourth Proportional to 3,870.76, 5,342.82 and 2,629.48

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Solution

The fourth proportional to 3,870.76, 5,342.82 and 2,629.48 is: 3,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.76 : 5,342.82 = 2,629.48 : x
  2. Step 2: Convert to fraction form
    3,870.76/5,342.82 = 2,629.48/x
  3. Step 3: Cross multiply
    3,870.76x = 5,342.82 × 2,629.48
  4. Step 4: Simplify right side
    3,870.76x = 14,048,838.33
  5. Step 5: Solve for x
    x = 14,048,838.33/3,870.76
  6. Step 6: Final answer
    x = 3,629.48

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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.