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Finding the Fourth Proportional to 3,156.67, 4,727.94 and 2,538.82

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Solution

The fourth proportional to 3,156.67, 4,727.94 and 2,538.82 is: 3,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.67 : 4,727.94 = 2,538.82 : x
  2. Step 2: Convert to fraction form
    3,156.67/4,727.94 = 2,538.82/x
  3. Step 3: Cross multiply
    3,156.67x = 4,727.94 × 2,538.82
  4. Step 4: Simplify right side
    3,156.67x = 12,003,388.63
  5. Step 5: Solve for x
    x = 12,003,388.63/3,156.67
  6. Step 6: Final answer
    x = 3,802.55

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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.