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Finding the Fourth Proportional to 3,954.60, 5,931.38 and 1,033.14

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Solution

The fourth proportional to 3,954.60, 5,931.38 and 1,033.14 is: 1,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.60 : 5,931.38 = 1,033.14 : x
  2. Step 2: Convert to fraction form
    3,954.60/5,931.38 = 1,033.14/x
  3. Step 3: Cross multiply
    3,954.60x = 5,931.38 × 1,033.14
  4. Step 4: Simplify right side
    3,954.60x = 6,127,945.93
  5. Step 5: Solve for x
    x = 6,127,945.93/3,954.60
  6. Step 6: Final answer
    x = 1,549.57

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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.