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Finding the Fourth Proportional to 3,415.82, 5,123.55 and 950.66

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Solution

The fourth proportional to 3,415.82, 5,123.55 and 950.66 is: 1,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.82 : 5,123.55 = 950.66 : x
  2. Step 2: Convert to fraction form
    3,415.82/5,123.55 = 950.66/x
  3. Step 3: Cross multiply
    3,415.82x = 5,123.55 × 950.66
  4. Step 4: Simplify right side
    3,415.82x = 4,870,728.43
  5. Step 5: Solve for x
    x = 4,870,728.43/3,415.82
  6. Step 6: Final answer
    x = 1,425.93

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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.