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Finding the Fourth Proportional to 4,150.58, 5,727.80 and 2,287.58

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Solution

The fourth proportional to 4,150.58, 5,727.80 and 2,287.58 is: 3,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.58 : 5,727.80 = 2,287.58 : x
  2. Step 2: Convert to fraction form
    4,150.58/5,727.80 = 2,287.58/x
  3. Step 3: Cross multiply
    4,150.58x = 5,727.80 × 2,287.58
  4. Step 4: Simplify right side
    4,150.58x = 13,102,820.76
  5. Step 5: Solve for x
    x = 13,102,820.76/4,150.58
  6. Step 6: Final answer
    x = 3,156.86

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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.