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Finding the Fourth Proportional to 5,903.25, 8,855.28 and 1,954.50

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Solution

The fourth proportional to 5,903.25, 8,855.28 and 1,954.50 is: 2,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.25 : 8,855.28 = 1,954.50 : x
  2. Step 2: Convert to fraction form
    5,903.25/8,855.28 = 1,954.50/x
  3. Step 3: Cross multiply
    5,903.25x = 8,855.28 × 1,954.50
  4. Step 4: Simplify right side
    5,903.25x = 17,307,644.76
  5. Step 5: Solve for x
    x = 17,307,644.76/5,903.25
  6. Step 6: Final answer
    x = 2,931.88

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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.