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Finding the Fourth Proportional to 4,902.04, 7,353 and 1,204.28

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Solution

The fourth proportional to 4,902.04, 7,353 and 1,204.28 is: 1,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.04 : 7,353 = 1,204.28 : x
  2. Step 2: Convert to fraction form
    4,902.04/7,353 = 1,204.28/x
  3. Step 3: Cross multiply
    4,902.04x = 7,353 × 1,204.28
  4. Step 4: Simplify right side
    4,902.04x = 8,855,070.84
  5. Step 5: Solve for x
    x = 8,855,070.84/4,902.04
  6. Step 6: Final answer
    x = 1,806.41

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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.