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Finding the Fourth Proportional to 4,534, 6,800.40 and 1,902.04

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Solution

The fourth proportional to 4,534, 6,800.40 and 1,902.04 is: 2,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534 : 6,800.40 = 1,902.04 : x
  2. Step 2: Convert to fraction form
    4,534/6,800.40 = 1,902.04/x
  3. Step 3: Cross multiply
    4,534x = 6,800.40 × 1,902.04
  4. Step 4: Simplify right side
    4,534x = 12,934,632.82
  5. Step 5: Solve for x
    x = 12,934,632.82/4,534
  6. Step 6: Final answer
    x = 2,852.81

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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.