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Finding the Fourth Proportional to 3,583.16, 5,374.64 and 950.67

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Solution

The fourth proportional to 3,583.16, 5,374.64 and 950.67 is: 1,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.16 : 5,374.64 = 950.67 : x
  2. Step 2: Convert to fraction form
    3,583.16/5,374.64 = 950.67/x
  3. Step 3: Cross multiply
    3,583.16x = 5,374.64 × 950.67
  4. Step 4: Simplify right side
    3,583.16x = 5,109,506.04
  5. Step 5: Solve for x
    x = 5,109,506.04/3,583.16
  6. Step 6: Final answer
    x = 1,425.98

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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.