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Finding the Fourth Proportional to 3,583.06, 5,374.83 and 950.53

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Solution

The fourth proportional to 3,583.06, 5,374.83 and 950.53 is: 1,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.06 : 5,374.83 = 950.53 : x
  2. Step 2: Convert to fraction form
    3,583.06/5,374.83 = 950.53/x
  3. Step 3: Cross multiply
    3,583.06x = 5,374.83 × 950.53
  4. Step 4: Simplify right side
    3,583.06x = 5,108,941.11
  5. Step 5: Solve for x
    x = 5,108,941.11/3,583.06
  6. Step 6: Final answer
    x = 1,425.86

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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.