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Finding the Fourth Proportional to 3,886.86, 5,825.42 and 3,061.88

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Solution

The fourth proportional to 3,886.86, 5,825.42 and 3,061.88 is: 4,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.86 : 5,825.42 = 3,061.88 : x
  2. Step 2: Convert to fraction form
    3,886.86/5,825.42 = 3,061.88/x
  3. Step 3: Cross multiply
    3,886.86x = 5,825.42 × 3,061.88
  4. Step 4: Simplify right side
    3,886.86x = 17,836,725.88
  5. Step 5: Solve for x
    x = 17,836,725.88/3,886.86
  6. Step 6: Final answer
    x = 4,588.98

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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.