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Finding the Fourth Proportional to 3,513.64, 5,270.40 and 1,292.64

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Solution

The fourth proportional to 3,513.64, 5,270.40 and 1,292.64 is: 1,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.64 : 5,270.40 = 1,292.64 : x
  2. Step 2: Convert to fraction form
    3,513.64/5,270.40 = 1,292.64/x
  3. Step 3: Cross multiply
    3,513.64x = 5,270.40 × 1,292.64
  4. Step 4: Simplify right side
    3,513.64x = 6,812,729.86
  5. Step 5: Solve for x
    x = 6,812,729.86/3,513.64
  6. Step 6: Final answer
    x = 1,938.94

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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.