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Finding the Fourth Proportional to 5,963.78, 8,946.64 and 2,015.42

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Solution

The fourth proportional to 5,963.78, 8,946.64 and 2,015.42 is: 3,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.78 : 8,946.64 = 2,015.42 : x
  2. Step 2: Convert to fraction form
    5,963.78/8,946.64 = 2,015.42/x
  3. Step 3: Cross multiply
    5,963.78x = 8,946.64 × 2,015.42
  4. Step 4: Simplify right side
    5,963.78x = 18,031,237.19
  5. Step 5: Solve for x
    x = 18,031,237.19/5,963.78
  6. Step 6: Final answer
    x = 3,023.46

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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.