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Finding the Fourth Proportional to 3,725.88, 5,142.79 and 2,310

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Solution

The fourth proportional to 3,725.88, 5,142.79 and 2,310 is: 3,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.88 : 5,142.79 = 2,310 : x
  2. Step 2: Convert to fraction form
    3,725.88/5,142.79 = 2,310/x
  3. Step 3: Cross multiply
    3,725.88x = 5,142.79 × 2,310
  4. Step 4: Simplify right side
    3,725.88x = 11,879,833.35
  5. Step 5: Solve for x
    x = 11,879,833.35/3,725.88
  6. Step 6: Final answer
    x = 3,188.46

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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.