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Finding the Fourth Proportional to 3,583.90, 5,372.61 and 1,274.86

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Solution

The fourth proportional to 3,583.90, 5,372.61 and 1,274.86 is: 1,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.90 : 5,372.61 = 1,274.86 : x
  2. Step 2: Convert to fraction form
    3,583.90/5,372.61 = 1,274.86/x
  3. Step 3: Cross multiply
    3,583.90x = 5,372.61 × 1,274.86
  4. Step 4: Simplify right side
    3,583.90x = 6,849,325.58
  5. Step 5: Solve for x
    x = 6,849,325.58/3,583.90
  6. Step 6: Final answer
    x = 1,911.14

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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.