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Finding the Fourth Proportional to 3,617.29, 5,425.73 and 1,277.40

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Solution

The fourth proportional to 3,617.29, 5,425.73 and 1,277.40 is: 1,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.29 : 5,425.73 = 1,277.40 : x
  2. Step 2: Convert to fraction form
    3,617.29/5,425.73 = 1,277.40/x
  3. Step 3: Cross multiply
    3,617.29x = 5,425.73 × 1,277.40
  4. Step 4: Simplify right side
    3,617.29x = 6,930,827.50
  5. Step 5: Solve for x
    x = 6,930,827.50/3,617.29
  6. Step 6: Final answer
    x = 1,916.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.