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Finding the Fourth Proportional to 5,241.94, 7,862.04 and 1,954.16

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Solution

The fourth proportional to 5,241.94, 7,862.04 and 1,954.16 is: 2,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.94 : 7,862.04 = 1,954.16 : x
  2. Step 2: Convert to fraction form
    5,241.94/7,862.04 = 1,954.16/x
  3. Step 3: Cross multiply
    5,241.94x = 7,862.04 × 1,954.16
  4. Step 4: Simplify right side
    5,241.94x = 15,363,684.09
  5. Step 5: Solve for x
    x = 15,363,684.09/5,241.94
  6. Step 6: Final answer
    x = 2,930.92

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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.