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Finding the Fourth Proportional to 5,931.36, 8,894.14 and 3,466.80

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Solution

The fourth proportional to 5,931.36, 8,894.14 and 3,466.80 is: 5,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.36 : 8,894.14 = 3,466.80 : x
  2. Step 2: Convert to fraction form
    5,931.36/8,894.14 = 3,466.80/x
  3. Step 3: Cross multiply
    5,931.36x = 8,894.14 × 3,466.80
  4. Step 4: Simplify right side
    5,931.36x = 30,834,204.55
  5. Step 5: Solve for x
    x = 30,834,204.55/5,931.36
  6. Step 6: Final answer
    x = 5,198.50

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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.